113264800 has 144 divisors (see below), whose sum is σ = 308042784. Its totient is φ = 40320000.

The previous prime is 113264797. The next prime is 113264803. The reversal of 113264800 is 8462311.

It is an interprime number because it is at equal distance from previous prime (113264797) and next prime (113264803).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (113264803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536695 + ... + 536905.

It is an arithmetic number, because the mean of its divisors is an integer number (2139186).

Almost surely, 2^113264800 is an apocalyptic number.

113264800 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 113264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154021392).

113264800 is an abundant number, since it is smaller than the sum of its proper divisors (194777984).

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

113264800 is a wasteful number, since it uses less digits than its factorization.

113264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 113264800 is about 10642.5936688384. The cubic root of 113264800 is about 483.8361579164.

The spelling of 113264800 in words is "one hundred thirteen million, two hundred sixty-four thousand, eight hundred".