117859680 has 72 divisors (see below), whose sum is σ = 402201072. Its totient is φ = 31428864.

The previous prime is 117859669. The next prime is 117859723. The reversal of 117859680 is 86958711.

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 (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 39484 + ... + 42363.

It is an arithmetic number, because the mean of its divisors is an integer number (5586126).

Almost surely, 2^117859680 is an apocalyptic number.

117859680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117859680 is an abundant number, since it is smaller than the sum of its proper divisors (284341392).

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

117859680 is a wasteful number, since it uses less digits than its factorization.

117859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81868 (or 81857 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 117859680 is about 10856.3198184283. The cubic root of 117859680 is about 490.2923148223.

The spelling of 117859680 in words is "one hundred seventeen million, eight hundred fifty-nine thousand, six hundred eighty".