112610880 has 168 divisors, whose sum is σ = 394298424. Its totient is φ = 29491200.

The previous prime is 112610863. The next prime is 112610893. The reversal of 112610880 is 88016211.

It can be written as a sum of positive squares in 4 ways, for example, as 7096896 + 105513984 = 2664^2 + 10272^2 .

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, 175360 + ... + 176000.

Almost surely, 2^112610880 is an apocalyptic number.

112610880 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 112610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197149212).

112610880 is an abundant number, since it is smaller than the sum of its proper divisors (281687544).

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

112610880 is a wasteful number, since it uses less digits than its factorization.

112610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 112610880 is about 10611.8273638427. The cubic root of 112610880 is about 482.9032379496.

The spelling of 112610880 in words is "one hundred twelve million, six hundred ten thousand, eight hundred eighty".