117506880 has 84 divisors (see below), whose sum is σ = 404184612. Its totient is φ = 31334400.

The previous prime is 117506827. The next prime is 117506897. The reversal of 117506880 is 88605711.

It can be written as a sum of positive squares in 2 ways, for example, as 84052224 + 33454656 = 9168^2 + 5784^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17521 + ... + 23280.

Almost surely, 2^117506880 is an apocalyptic number.

117506880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117506880 is an abundant number, since it is smaller than the sum of its proper divisors (286677732).

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

117506880 is a wasteful number, since it uses less digits than its factorization.

117506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40824 (or 40811 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 117506880 is about 10840.0590404296. The cubic root of 117506880 is about 489.8026138200.

The spelling of 117506880 in words is "one hundred seventeen million, five hundred six thousand, eight hundred eighty".