112577920 has 128 divisors (see below), whose sum is σ = 331410240. Its totient is φ = 35610624.

The previous prime is 112577903. The next prime is 112577921. The reversal of 112577920 is 29775211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112577921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57274 + ... + 59206.

Almost surely, 2^112577920 is an apocalyptic number.

112577920 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 112577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165705120).

112577920 is an abundant number, since it is smaller than the sum of its proper divisors (218832320).

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

112577920 is a wasteful number, since it uses less digits than its factorization.

112577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 112577920 is about 10610.2742660122. The cubic root of 112577920 is about 482.8561198149.

The spelling of 112577920 in words is "one hundred twelve million, five hundred seventy-seven thousand, nine hundred twenty".