117966240 has 384 divisors, whose sum is σ = 487710720. Its totient is φ = 26072064.

The previous prime is 117966239. The next prime is 117966263. The reversal of 117966240 is 42669711.

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

It is a junction number, because it is equal to n+sod(n) for n = 117966195 and 117966204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1421239 + ... + 1421321.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^117966240 is an apocalyptic number.

117966240 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 117966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

117966240 is an abundant number, since it is smaller than the sum of its proper divisors (369744480).

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

117966240 is a wasteful number, since it uses less digits than its factorization.

117966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 117966240 is about 10861.2264500838. The cubic root of 117966240 is about 490.4400323212.

The spelling of 117966240 in words is "one hundred seventeen million, nine hundred sixty-six thousand, two hundred forty".