117826560 has 132 divisors (see below), whose sum is σ = 408425628. Its totient is φ = 31408128.

The previous prime is 117826549. The next prime is 117826561. The reversal of 117826560 is 65628711.

117826560 is a `hidden beast` number, since 1 + 1 + 78 + 26 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 71368704 = 6816^2 + 8448^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117826561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44802 + ... + 47358.

Almost surely, 2^117826560 is an apocalyptic number.

117826560 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 117826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204212814).

117826560 is an abundant number, since it is smaller than the sum of its proper divisors (290599068).

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

117826560 is a wasteful number, since it uses less digits than its factorization.

117826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 117826560 is about 10854.7943324597. The cubic root of 117826560 is about 490.2463844901.

The spelling of 117826560 in words is "one hundred seventeen million, eight hundred twenty-six thousand, five hundred sixty".