112616280 has 384 divisors, whose sum is σ = 458265600. Its totient is φ = 23417856.

The previous prime is 112616267. The next prime is 112616281. The reversal of 112616280 is 82616211.

112616280 is a `hidden beast` number, since 11 + 26 + 1 + 628 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112616281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1680807 + ... + 1680873.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 2^112616280 is an apocalyptic number.

112616280 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 112616280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

112616280 is an abundant number, since it is smaller than the sum of its proper divisors (345649320).

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

112616280 is a wasteful number, since it uses less digits than its factorization.

112616280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 112616280 is about 10612.0817938800. The cubic root of 112616280 is about 482.9109566703.

It can be divided in two parts, 112616 and 280, that added together give a square (112896 = 336²).

The spelling of 112616280 in words is "one hundred twelve million, six hundred sixteen thousand, two hundred eighty".