112391664 has 160 divisors (see below), whose sum is σ = 370262016. Its totient is φ = 28527360.

The previous prime is 112391663. The next prime is 112391687. The reversal of 112391664 is 466193211.

It is a super-2 number, since 2×112391664² = 25263772273377792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112391663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173389 + ... + 174035.

Almost surely, 2^112391664 is an apocalyptic number.

112391664 is a gapful number since it is divisible by the number (14) 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 112391664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185131008).

112391664 is an abundant number, since it is smaller than the sum of its proper divisors (257870352).

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

112391664 is a wasteful number, since it uses less digits than its factorization.

112391664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 112391664 is about 10601.4934796943. The cubic root of 112391664 is about 482.5896836344.

The spelling of 112391664 in words is "one hundred twelve million, three hundred ninety-one thousand, six hundred sixty-four".