112890564 has 48 divisors (see below), whose sum is σ = 295444800. Its totient is φ = 37274688.

The previous prime is 112890553. The next prime is 112890577. The reversal of 112890564 is 465098211.

112890564 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 90 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 6672 + ... + 16440.

It is an arithmetic number, because the mean of its divisors is an integer number (6155100).

Almost surely, 2^112890564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112890564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147722400).

112890564 is an abundant number, since it is smaller than the sum of its proper divisors (182554236).

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

112890564 is a wasteful number, since it uses less digits than its factorization.

112890564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 112890564 is about 10624.9971294114. The cubic root of 112890564 is about 483.3026920990.

The spelling of 112890564 in words is "one hundred twelve million, eight hundred ninety thousand, five hundred sixty-four".