113667400 has 192 divisors, whose sum is σ = 337656960. Its totient is φ = 34848000.

The previous prime is 113667397. The next prime is 113667431. The reversal of 113667400 is 4766311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1863370 + ... + 1863430.

It is an arithmetic number, because the mean of its divisors is an integer number (1758630).

Almost surely, 2^113667400 is an apocalyptic number.

113667400 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 113667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168828480).

113667400 is an abundant number, since it is smaller than the sum of its proper divisors (223989560).

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

113667400 is a wasteful number, since it uses less digits than its factorization.

113667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 113667400 is about 10661.4914528878. The cubic root of 113667400 is about 484.4087456198.

The spelling of 113667400 in words is "one hundred thirteen million, six hundred sixty-seven thousand, four hundred".