11457936 has 120 divisors (see below), whose sum is σ = 38094784. Its totient is φ = 3265920.

The previous prime is 11457889. The next prime is 11457937. The reversal of 11457936 is 63975411.

11457936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11457936.

It is not an unprimeable number, because it can be changed into a prime (11457937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27006 + ... + 27426.

Almost surely, 2^11457936 is an apocalyptic number.

11457936 is a gapful number since it is divisible by the number (16) 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 11457936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19047392).

11457936 is an abundant number, since it is smaller than the sum of its proper divisors (26636848).

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

11457936 is an equidigital number, since it uses as much as digits as its factorization.

11457936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 11457936 is about 3384.9573114000. The cubic root of 11457936 is about 225.4423298493.

The spelling of 11457936 in words is "eleven million, four hundred fifty-seven thousand, nine hundred thirty-six".