117964800 has 180 divisors, whose sum is σ = 422575725. Its totient is φ = 31457280.

The previous prime is 117964793. The next prime is 117964801. The reversal of 117964800 is 8469711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (5!)² ⋅ (2!)¹³.

117964800 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 2359296 = 10752^2 + 1536^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7680.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117964801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23592958 + ... + 23592962.

Almost surely, 2^117964800 is an apocalyptic number.

117964800 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 117964800

117964800 is an abundant number, since it is smaller than the sum of its proper divisors (304610925).

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

117964800 is an frugal number, since it uses more digits than its factorization.

117964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 117964800 is about 10861.1601590254. The cubic root of 117964800 is about 490.4380367319.

The spelling of 117964800 in words is "one hundred seventeen million, nine hundred sixty-four thousand, eight hundred".