26742496 has 96 divisors (see below), whose sum is σ = 62868960. Its totient is φ = 11059200.

The previous prime is 26742493. The next prime is 26742503. The reversal of 26742496 is 69424762.

It is a super-2 number, since 2×26742496² = 1430322184620032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26742493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245290 + ... + 245398.

It is an arithmetic number, because the mean of its divisors is an integer number (654885).

Almost surely, 2^26742496 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 26742496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31434480).

26742496 is an abundant number, since it is smaller than the sum of its proper divisors (36126464).

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

26742496 is a wasteful number, since it uses less digits than its factorization.

26742496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 26742496 is about 5171.3147264501. The cubic root of 26742496 is about 299.0432333841.

The spelling of 26742496 in words is "twenty-six million, seven hundred forty-two thousand, four hundred ninety-six".