112635648 has 216 divisors, whose sum is σ = 357127680. Its totient is φ = 34007040.

The previous prime is 112635637. The next prime is 112635671. The reversal of 112635648 is 846536211.

It is a happy number.

112635648 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 5 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1357015 + ... + 1357097.

Almost surely, 2^112635648 is an apocalyptic number.

112635648 is a gapful number since it is divisible by the number (18) 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 112635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178563840).

112635648 is an abundant number, since it is smaller than the sum of its proper divisors (244492032).

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

112635648 is a wasteful number, since it uses less digits than its factorization.

112635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 112635648 is about 10612.9942994425. The cubic root of 112635648 is about 482.9386391193.

The spelling of 112635648 in words is "one hundred twelve million, six hundred thirty-five thousand, six hundred forty-eight".