113466800 has 60 divisors (see below), whose sum is σ = 273746616. Its totient is φ = 45196800.

The previous prime is 113466791. The next prime is 113466811. The reversal of 113466800 is 8664311.

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, 131972 + ... + 132828.

Almost surely, 2^113466800 is an apocalyptic number.

113466800 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 113466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136873308).

113466800 is an abundant number, since it is smaller than the sum of its proper divisors (160279816).

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

113466800 is a wasteful number, since it uses less digits than its factorization.

113466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 113466800 is about 10652.0796091655. The cubic root of 113466800 is about 484.1236166274.

The spelling of 113466800 in words is "one hundred thirteen million, four hundred sixty-six thousand, eight hundred".