117011664 has 240 divisors, whose sum is σ = 417366144. Its totient is φ = 29721600.

The previous prime is 117011659. The next prime is 117011707. The reversal of 117011664 is 466110711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676282 + ... + 676454.

Almost surely, 2^117011664 is an apocalyptic number.

117011664 is a gapful number since it is divisible by the number (14) 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 117011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208683072).

117011664 is an abundant number, since it is smaller than the sum of its proper divisors (300354480).

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

117011664 is a wasteful number, since it uses less digits than its factorization.

117011664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117011664 is about 10817.1929815456. The cubic root of 117011664 is about 489.1135771911.

The spelling of 117011664 in words is "one hundred seventeen million, eleven thousand, six hundred sixty-four".