117948600 has 576 divisors, whose sum is σ = 529251840. Its totient is φ = 22809600.

The previous prime is 117948587. The next prime is 117948617. The reversal of 117948600 is 6849711.

117948600 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 48 + 600 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3187782 + ... + 3187818.

It is an arithmetic number, because the mean of its divisors is an integer number (918840).

Almost surely, 2^117948600 is an apocalyptic number.

117948600 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 117948600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264625920).

117948600 is an abundant number, since it is smaller than the sum of its proper divisors (411303240).

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

117948600 is a wasteful number, since it uses less digits than its factorization.

117948600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 117948600 is about 10860.4143567361. The cubic root of 117948600 is about 490.4155852324.

The spelling of 117948600 in words is "one hundred seventeen million, nine hundred forty-eight thousand, six hundred".