11617152 has 32 divisors (see below), whose sum is σ = 30859080. Its totient is φ = 3872256.

The previous prime is 11617141. The next prime is 11617153. The reversal of 11617152 is 25171611.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×11617152² = 269916441182208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11617153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14743 + ... + 15510.

Almost surely, 2^11617152 is an apocalyptic number.

11617152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11617152 is an abundant number, since it is smaller than the sum of its proper divisors (19241928).

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

11617152 is an equidigital number, since it uses as much as digits as its factorization.

11617152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30270 (or 30258 counting only the distinct ones).

The product of its digits is 420, while the sum is 24.

The square root of 11617152 is about 3408.3943433822. The cubic root of 11617152 is about 226.4817561533.

Adding to 11617152 its reverse (25171611), we get a palindrome (36788763).

The spelling of 11617152 in words is "eleven million, six hundred seventeen thousand, one hundred fifty-two".