112564764 has 72 divisors (see below), whose sum is σ = 311528672. Its totient is φ = 34058880.

The previous prime is 112564729. The next prime is 112564787. The reversal of 112564764 is 467465211.

112564764 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 647 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26577 + ... + 30519.

Almost surely, 2^112564764 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 112564764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155764336).

112564764 is an abundant number, since it is smaller than the sum of its proper divisors (198963908).

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

112564764 is a wasteful number, since it uses less digits than its factorization.

112564764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4022 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 112564764 is about 10609.6542827747. The cubic root of 112564764 is about 482.8373100205.

The spelling of 112564764 in words is "one hundred twelve million, five hundred sixty-four thousand, seven hundred sixty-four".