117948960 has 240 divisors, whose sum is σ = 439084800. Its totient is φ = 29735424.

The previous prime is 117948959. The next prime is 117948967. The reversal of 117948960 is 69849711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (117948967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246001 + ... + 246479.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 2^117948960 is an apocalyptic number.

117948960 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 117948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

117948960 is an abundant number, since it is smaller than the sum of its proper divisors (321135840).

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

117948960 is a wasteful number, since it uses less digits than its factorization.

117948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 117948960 is about 10860.4309306767. The cubic root of 117948960 is about 490.4160841770.

The spelling of 117948960 in words is "one hundred seventeen million, nine hundred forty-eight thousand, nine hundred sixty".