112664400 has 60 divisors (see below), whose sum is σ = 360905472. Its totient is φ = 30043520.

The previous prime is 112664393. The next prime is 112664411. The reversal of 112664400 is 4466211.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45744 + ... + 48143.

Almost surely, 2^112664400 is an apocalyptic number.

112664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112664400 is an abundant number, since it is smaller than the sum of its proper divisors (248241072).

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

112664400 is a wasteful number, since it uses less digits than its factorization.

112664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93908 (or 93897 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 112664400 is about 10614.3487788936. The cubic root of 112664400 is about 482.9797281548.

The spelling of 112664400 in words is "one hundred twelve million, six hundred sixty-four thousand, four hundred".