11536512 has 64 divisors (see below), whose sum is σ = 33015360. Its totient is φ = 3548160.

The previous prime is 11536507. The next prime is 11536531. The reversal of 11536512 is 21563511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11536512² = 266182218252288, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3837 + ... + 6147.

It is an arithmetic number, because the mean of its divisors is an integer number (515865).

Almost surely, 2^11536512 is an apocalyptic number.

11536512 is a gapful number since it is divisible by the number (12) 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 11536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507680).

11536512 is an abundant number, since it is smaller than the sum of its proper divisors (21478848).

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

11536512 is a wasteful number, since it uses less digits than its factorization.

11536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2329 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 11536512 is about 3396.5441260199. The cubic root of 11536512 is about 225.9565008823.

The spelling of 11536512 in words is "eleven million, five hundred thirty-six thousand, five hundred twelve".