112694400 has 576 divisors, whose sum is σ = 506425920. Its totient is φ = 23224320.

The previous prime is 112694399. The next prime is 112694431. The reversal of 112694400 is 4496211.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2620779 + ... + 2620821.

Almost surely, 2^112694400 is an apocalyptic number.

112694400 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 112694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253212960).

112694400 is an abundant number, since it is smaller than the sum of its proper divisors (393731520).

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

112694400 is a wasteful number, since it uses less digits than its factorization.

112694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112694400 is about 10615.7618662063. The cubic root of 112694400 is about 483.0225932361.

The spelling of 112694400 in words is "one hundred twelve million, six hundred ninety-four thousand, four hundred".