117552960 has 420 divisors, whose sum is σ = 499440708. Its totient is φ = 25288704.

The previous prime is 117552949. The next prime is 117552971. The reversal of 117552960 is 69255711.

117552960 is a `hidden beast` number, since 1 + 1 + 75 + 529 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (117552949) and next prime (117552971).

It can be written as a sum of positive squares in 2 ways, for example, as 67765824 + 49787136 = 8232^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6914872 + ... + 6914888.

Almost surely, 2^117552960 is an apocalyptic number.

117552960 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 117552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249720354).

117552960 is an abundant number, since it is smaller than the sum of its proper divisors (381887748).

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

117552960 is an equidigital number, since it uses as much as digits as its factorization.

117552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 117552960 is about 10842.1842817764. The cubic root of 117552960 is about 489.8666303690.

The spelling of 117552960 in words is "one hundred seventeen million, five hundred fifty-two thousand, nine hundred sixty".