117648000 has 384 divisors, whose sum is σ = 455083200. Its totient is φ = 29030400.

The previous prime is 117647987. The next prime is 117648001. The reversal of 117648000 is 846711.

It is a happy number.

117648000 is a `hidden beast` number, since 1 + 17 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117648001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2735979 + ... + 2736021.

Almost surely, 2^117648000 is an apocalyptic number.

117648000 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 117648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227541600).

117648000 is an abundant number, since it is smaller than the sum of its proper divisors (337435200).

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

117648000 is a wasteful number, since it uses less digits than its factorization.

117648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 117648000 is about 10846.5662769376. The cubic root of 117648000 is about 489.9986116856.

The spelling of 117648000 in words is "one hundred seventeen million, six hundred forty-eight thousand".