112579600 has 120 divisors (see below), whose sum is σ = 319328768. Its totient is φ = 37324800.

The previous prime is 112579591. The next prime is 112579603. The reversal of 112579600 is 6975211.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (112579603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86152 + ... + 87448.

Almost surely, 2^112579600 is an apocalyptic number.

112579600 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 112579600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159664384).

112579600 is an abundant number, since it is smaller than the sum of its proper divisors (206749168).

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

112579600 is a wasteful number, since it uses less digits than its factorization.

112579600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 112579600 is about 10610.3534342641. The cubic root of 112579600 is about 482.8585216898.

The spelling of 112579600 in words is "one hundred twelve million, five hundred seventy-nine thousand, six hundred".