112634640 has 60 divisors (see below), whose sum is σ = 378267084. Its totient is φ = 30035712.

The previous prime is 112634629. The next prime is 112634647. The reversal of 112634640 is 46436211.

112634640 is a `hidden beast` number, since 1 + 12 + 6 + 3 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 68757264 = 6624^2 + 8292^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (112634647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77499 + ... + 78938.

Almost surely, 2^112634640 is an apocalyptic number.

112634640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112634640 is an abundant number, since it is smaller than the sum of its proper divisors (265632444).

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

112634640 is a wasteful number, since it uses less digits than its factorization.

112634640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156456 (or 156447 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 112634640 is about 10612.9468103821. The cubic root of 112634640 is about 482.9371984753.

The spelling of 112634640 in words is "one hundred twelve million, six hundred thirty-four thousand, six hundred forty".