112064400 has 180 divisors, whose sum is σ = 444550912. Its totient is φ = 25608960.

The previous prime is 112064399. The next prime is 112064429. The reversal of 112064400 is 4460211.

112064400 is a `hidden beast` number, since 1 + 1 + 20 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22977 + ... + 27423.

Almost surely, 2^112064400 is an apocalyptic number.

112064400 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 112064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222275456).

112064400 is an abundant number, since it is smaller than the sum of its proper divisors (332486512).

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

112064400 is a wasteful number, since it uses less digits than its factorization.

112064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112064400 is about 10586.0474210160. The cubic root of 112064400 is about 482.1208239196.

The spelling of 112064400 in words is "one hundred twelve million, sixty-four thousand, four hundred".