112961664 has 48 divisors (see below), whose sum is σ = 325062270. Its totient is φ = 37653504.

The previous prime is 112961659. The next prime is 112961687. The reversal of 112961664 is 466169211.

112961664 is a `hidden beast` number, since 11 + 29 + 616 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108993600 + 3968064 = 10440^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47877 + ... + 50180.

Almost surely, 2^112961664 is an apocalyptic number.

It is an amenable number.

112961664 is an abundant number, since it is smaller than the sum of its proper divisors (212100606).

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

112961664 is an equidigital number, since it uses as much as digits as its factorization.

112961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98077 (or 98062 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 112961664 is about 10628.3424860135. The cubic root of 112961664 is about 483.4041343237.

The spelling of 112961664 in words is "one hundred twelve million, nine hundred sixty-one thousand, six hundred sixty-four".