112631936 has 64 divisors (see below), whose sum is σ = 239708160. Its totient is φ = 52531200.

The previous prime is 112631927. The next prime is 112631941. The reversal of 112631936 is 639136211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415481 + ... + 415751.

It is an arithmetic number, because the mean of its divisors is an integer number (3745440).

Almost surely, 2^112631936 is an apocalyptic number.

112631936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112631936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119854080).

112631936 is an abundant number, since it is smaller than the sum of its proper divisors (127076224).

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

112631936 is a wasteful number, since it uses less digits than its factorization.

112631936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its digits is 5832, while the sum is 32.

The square root of 112631936 is about 10612.8194180434. The cubic root of 112631936 is about 482.9333338483.

The spelling of 112631936 in words is "one hundred twelve million, six hundred thirty-one thousand, nine hundred thirty-six".