11657152 has 28 divisors (see below), whose sum is σ = 24913336. Its totient is φ = 5379840.

The previous prime is 11657143. The next prime is 11657153. The reversal of 11657152 is 25175611.

It is a super-2 number, since 2×11657152² = 271778385502208, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 11657152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11657153) 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 3 ways as a sum of consecutive naturals, for example, 6174 + ... + 7837.

It is an arithmetic number, because the mean of its divisors is an integer number (889762).

Almost surely, 2^11657152 is an apocalyptic number.

It is an amenable number.

11657152 is an abundant number, since it is smaller than the sum of its proper divisors (13256184).

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

11657152 is a wasteful number, since it uses less digits than its factorization.

11657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14036 (or 14026 counting only the distinct ones).

The product of its digits is 2100, while the sum is 28.

The square root of 11657152 is about 3414.2571666469. The cubic root of 11657152 is about 226.7413978885.

The spelling of 11657152 in words is "eleven million, six hundred fifty-seven thousand, one hundred fifty-two".