116524800 has 486 divisors, whose sum is σ = 505771448. Its totient is φ = 25067520.

The previous prime is 116524787. The next prime is 116524841. The reversal of 116524800 is 8425611.

116524800 is a `hidden beast` number, since 1 + 1 + 652 + 4 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6854392 + ... + 6854408.

Almost surely, 2^116524800 is an apocalyptic number.

116524800 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 116524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252885724).

116524800 is an abundant number, since it is smaller than the sum of its proper divisors (389246648).

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

116524800 is a wasteful number, since it uses less digits than its factorization.

116524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116524800 is about 10794.6653491435. The cubic root of 116524800 is about 488.4342636246.

The spelling of 116524800 in words is "one hundred sixteen million, five hundred twenty-four thousand, eight hundred".