117661536 has 72 divisors (see below), whose sum is σ = 336445200. Its totient is φ = 39004416.

The previous prime is 117661519. The next prime is 117661543. The reversal of 117661536 is 635166711.

117661536 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 615 + 36 = 666.

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 (36).

117661536 is a Rhonda number in base 10.

Its product of digits (22680) is a multiple of the sum of its prime factors (2268).

It is a self number, because there is not a number n which added to its sum of digits gives 117661536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56286 + ... + 58338.

It is an arithmetic number, because the mean of its divisors is an integer number (4672850).

Almost surely, 2^117661536 is an apocalyptic number.

117661536 is a gapful number since it is divisible by the number (16) 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 117661536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168222600).

117661536 is an abundant number, since it is smaller than the sum of its proper divisors (218783664).

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

117661536 is a wasteful number, since it uses less digits than its factorization.

117661536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2257 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 117661536 is about 10847.1902352637. The cubic root of 117661536 is about 490.0174032414.

The spelling of 117661536 in words is "one hundred seventeen million, six hundred sixty-one thousand, five hundred thirty-six".