112947264 has 112 divisors (see below), whose sum is σ = 334914240. Its totient is φ = 37324800.

The previous prime is 112947259. The next prime is 112947271. The reversal of 112947264 is 462749211.

It is a happy number.

112947264 is a `hidden beast` number, since 1 + 129 + 472 + 64 = 666.

It is a super-3 number, since 3×112947264³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 281464 + ... + 281864.

Almost surely, 2^112947264 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 112947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167457120).

112947264 is an abundant number, since it is smaller than the sum of its proper divisors (221966976).

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

112947264 is a wasteful number, since it uses less digits than its factorization.

112947264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 112947264 is about 10627.6650304759. The cubic root of 112947264 is about 483.3835925012.

It can be divided in two parts, 112 and 947264, that added together give a triangular number (947376 = T₁₃₇₆).

The spelling of 112947264 in words is "one hundred twelve million, nine hundred forty-seven thousand, two hundred sixty-four".