112634496 has 256 divisors, whose sum is σ = 376992000. Its totient is φ = 32845824.

The previous prime is 112634479. The next prime is 112634507. The reversal of 112634496 is 694436211.

112634496 is a `hidden beast` number, since 1 + 12 + 634 + 4 + 9 + 6 = 666.

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 a self number, because there is not a number n which added to its sum of digits gives 112634496.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033290 + ... + 1033398.

It is an arithmetic number, because the mean of its divisors is an integer number (1472625).

Almost surely, 2^112634496 is an apocalyptic number.

112634496 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 112634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188496000).

112634496 is an abundant number, since it is smaller than the sum of its proper divisors (264357504).

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

112634496 is a wasteful number, since it uses less digits than its factorization.

112634496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 112634496 is about 10612.9400262133. The cubic root of 112634496 is about 482.9369926684.

The spelling of 112634496 in words is "one hundred twelve million, six hundred thirty-four thousand, four hundred ninety-six".