11597152 has 48 divisors (see below), whose sum is σ = 27240192. Its totient is φ = 4752000.

The previous prime is 11597141. The next prime is 11597167. The reversal of 11597152 is 25179511.

It is a super-2 number, since 2×11597152² = 268987869022208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4027 + ... + 6277.

It is an arithmetic number, because the mean of its divisors is an integer number (567504).

Almost surely, 2^11597152 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 11597152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13620096).

11597152 is an abundant number, since it is smaller than the sum of its proper divisors (15643040).

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

11597152 is a wasteful number, since it uses less digits than its factorization.

11597152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2283 counting only the distinct ones).

The product of its digits is 3150, while the sum is 31.

The square root of 11597152 is about 3405.4591467231. The cubic root of 11597152 is about 226.3517117440.

The spelling of 11597152 in words is "eleven million, five hundred ninety-seven thousand, one hundred fifty-two".