112465920 has 192 divisors, whose sum is σ = 411989760. Its totient is φ = 25657344.

The previous prime is 112465919. The next prime is 112465933. The reversal of 112465920 is 29564211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×112465920² = 25297166322892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214779 + ... + 215301.

It is an arithmetic number, because the mean of its divisors is an integer number (2145780).

Almost surely, 2^112465920 is an apocalyptic number.

112465920 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 112465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205994880).

112465920 is an abundant number, since it is smaller than the sum of its proper divisors (299523840).

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

112465920 is an equidigital number, since it uses as much as digits as its factorization.

112465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 112465920 is about 10604.9950495038. The cubic root of 112465920 is about 482.6959408934.

The spelling of 112465920 in words is "one hundred twelve million, four hundred sixty-five thousand, nine hundred twenty".