26142912 has 126 divisors (see below), whose sum is σ = 79650844. Its totient is φ = 8501760.

The previous prime is 26142911. The next prime is 26142913. The reversal of 26142912 is 21924162.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (26142911) and next prime (26142913).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (26142911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 637612 + ... + 637652.

Almost surely, 2^26142912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39825422).

26142912 is an abundant number, since it is smaller than the sum of its proper divisors (53507932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26142912 is an frugal number, since it uses more digits than its factorization.

26142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 46 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 26142912 is about 5113.0139839433. The cubic root of 26142912 is about 296.7914054127.

Multiplying 26142912 by its sum of digits (27), we get a square (705858624 = 26568²).

26142912 divided by its sum of digits (27) gives a square (968256 = 984²).

Multiplying 26142912 by its product of digits (1728), we get a square (45174951936 = 212544²).

26142912 divided by its product of digits (1728) gives a square (15129 = 123²).

The spelling of 26142912 in words is "twenty-six million, one hundred forty-two thousand, nine hundred twelve".