26661312 has 140 divisors (see below), whose sum is σ = 81752440. Its totient is φ = 8584704.

The previous prime is 26661311. The next prime is 26661319. The reversal of 26661312 is 21316662.

It is a super-2 number, since 2×26661312² = 1421651115122688, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26661311) 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 19 ways as a sum of consecutive naturals, for example, 191739 + ... + 191877.

It is an arithmetic number, because the mean of its divisors is an integer number (583946).

Almost surely, 2^26661312 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 26661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40876220).

26661312 is an abundant number, since it is smaller than the sum of its proper divisors (55091128).

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

26661312 is a wasteful number, since it uses less digits than its factorization.

26661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 26661312 is about 5163.4593055431. The cubic root of 26661312 is about 298.7403180747.

Adding to 26661312 its reverse (21316662), we get a palindrome (47977974).

The spelling of 26661312 in words is "twenty-six million, six hundred sixty-one thousand, three hundred twelve".