112529664 has 243 divisors, whose sum is σ = 373210383. Its totient is φ = 32587776.

The previous prime is 112529621. The next prime is 112529687. The reversal of 112529664 is 466925211.

The square root of 112529664 is 10608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 111513600 = 1008^2 + 10560^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6619384 + ... + 6619400.

Almost surely, 2^112529664 is an apocalyptic number.

112529664 is the 10608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112529664

112529664 is an abundant number, since it is smaller than the sum of its proper divisors (260680719).

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

112529664 is a wasteful number, since it uses less digits than its factorization.

112529664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 35 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 112529664 is about 482.7871186142.

Multiplying 112529664 by its sum of digits (36), we get a square (4051067904 = 63648²).

112529664 divided by its sum of digits (36) gives a square (3125824 = 1768²).

The spelling of 112529664 in words is "one hundred twelve million, five hundred twenty-nine thousand, six hundred sixty-four".