11457264 has 160 divisors (see below), whose sum is σ = 37886464. Its totient is φ = 2903040.

The previous prime is 11457263. The next prime is 11457283. The reversal of 11457264 is 46275411.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11457263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187794 + ... + 187854.

Almost surely, 2^11457264 is an apocalyptic number.

11457264 is a gapful number since it is divisible by the number (14) 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 11457264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943232).

11457264 is an abundant number, since it is smaller than the sum of its proper divisors (26429200).

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

11457264 is a wasteful number, since it uses less digits than its factorization.

11457264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 11457264 is about 3384.8580472451. The cubic root of 11457264 is about 225.4379224177.

The spelling of 11457264 in words is "eleven million, four hundred fifty-seven thousand, two hundred sixty-four".