117648720 has 320 divisors, whose sum is σ = 479969280. Its totient is φ = 25920000.

The previous prime is 117648719. The next prime is 117648743. The reversal of 117648720 is 27846711.

117648720 is a `hidden beast` number, since 1 + 1 + 7 + 648 + 7 + 2 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 468595 + ... + 468845.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^117648720 is an apocalyptic number.

117648720 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 117648720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640).

117648720 is an abundant number, since it is smaller than the sum of its proper divisors (362320560).

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

117648720 is a wasteful number, since it uses less digits than its factorization.

117648720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 117648720 is about 10846.5994671141. The cubic root of 117648720 is about 489.9996112728. Note that the first 3 decimals are identical.

The spelling of 117648720 in words is "one hundred seventeen million, six hundred forty-eight thousand, seven hundred twenty".