117656880 has 160 divisors (see below), whose sum is σ = 407973888. Its totient is φ = 27801600.

The previous prime is 117656867. The next prime is 117656893. The reversal of 117656880 is 88656711.

117656880 = T₄₈₅ + T₄₈₆ + ... + T₉₃₅.

It is an interprime number because it is at equal distance from previous prime (117656867) and next prime (117656893).

It is a super-2 number, since 2×117656880² = 27686282822668800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107697 + ... + 108783.

Almost surely, 2^117656880 is an apocalyptic number.

117656880 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 117656880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203986944).

117656880 is an abundant number, since it is smaller than the sum of its proper divisors (290317008).

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

117656880 is a wasteful number, since it uses less digits than its factorization.

117656880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 117656880 is about 10846.9756153501. The cubic root of 117656880 is about 490.0109396419.

The spelling of 117656880 in words is "one hundred seventeen million, six hundred fifty-six thousand, eight hundred eighty".