117816480 has 72 divisors (see below), whose sum is σ = 402053652. Its totient is φ = 31417344.

The previous prime is 117816463. The next prime is 117816481. The reversal of 117816480 is 84618711.

117816480 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 15968016 = 10092^2 + 3996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (117816481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39469 + ... + 42348.

Almost surely, 2^117816480 is an apocalyptic number.

117816480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117816480 is an abundant number, since it is smaller than the sum of its proper divisors (284237172).

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

117816480 is a wasteful number, since it uses less digits than its factorization.

117816480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81838 (or 81827 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 117816480 is about 10854.3300115668. The cubic root of 117816480 is about 490.2324039850.

The spelling of 117816480 in words is "one hundred seventeen million, eight hundred sixteen thousand, four hundred eighty".