26346144 has 96 divisors (see below), whose sum is σ = 76870080. Its totient is φ = 7833600.

The previous prime is 26346139. The next prime is 26346157. The reversal of 26346144 is 44164362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64212 + ... + 64620.

It is an arithmetic number, because the mean of its divisors is an integer number (800730).

Almost surely, 2^26346144 is an apocalyptic number.

26346144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26346144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38435040).

26346144 is an abundant number, since it is smaller than the sum of its proper divisors (50523936).

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

26346144 is a wasteful number, since it uses less digits than its factorization.

26346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 26346144 is about 5132.8495010082. The cubic root of 26346144 is about 297.5584951946.

It can be divided in two parts, 2634 and 6144, that added together give a palindrome (8778).

The spelling of 26346144 in words is "twenty-six million, three hundred forty-six thousand, one hundred forty-four".