112635360 has 144 divisors (see below), whose sum is σ = 398741616. Its totient is φ = 30025728.

The previous prime is 112635343. The next prime is 112635373. The reversal of 112635360 is 63536211.

112635360 is a `hidden beast` number, since 1 + 126 + 3 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37432 + ... + 40328.

It is an arithmetic number, because the mean of its divisors is an integer number (2769039).

Almost surely, 2^112635360 is an apocalyptic number.

112635360 is a gapful number since it is divisible by the number (10) 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 112635360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199370808).

112635360 is an abundant number, since it is smaller than the sum of its proper divisors (286106256).

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

112635360 is an equidigital number, since it uses as much as digits as its factorization.

112635360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 112635360 is about 10612.9807311613. The cubic root of 112635360 is about 482.9382275076.

The spelling of 112635360 in words is "one hundred twelve million, six hundred thirty-five thousand, three hundred sixty".