117511680 has 320 divisors, whose sum is σ = 445471488. Its totient is φ = 26050560.

The previous prime is 117511679. The next prime is 117511687. The reversal of 117511680 is 86115711.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117511687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1098187 + ... + 1098293.

Almost surely, 2^117511680 is an apocalyptic number.

117511680 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 117511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222735744).

117511680 is an abundant number, since it is smaller than the sum of its proper divisors (327959808).

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

117511680 is a wasteful number, since it uses less digits than its factorization.

117511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 30.

The square root of 117511680 is about 10840.2804391768. The cubic root of 117511680 is about 489.8092829913.

It can be divided in two parts, 11751 and 1680, that added together give a palindrome (13431).

The spelling of 117511680 in words is "one hundred seventeen million, five hundred eleven thousand, six hundred eighty".