117649600 has 126 divisors (see below), whose sum is σ = 304802540. Its totient is φ = 44689920.

The previous prime is 117649589. The next prime is 117649613. The reversal of 117649600 is 6946711.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 846331 + ... + 846469.

Almost surely, 2^117649600 is an apocalyptic number.

117649600 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 117649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152401270).

117649600 is an abundant number, since it is smaller than the sum of its proper divisors (187152940).

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

117649600 is a wasteful number, since it uses less digits than its factorization.

117649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 117649600 is about 10846.6400327475. The cubic root of 117649600 is about 490.0008329848. Note that the first 3 decimals are identical.

The spelling of 117649600 in words is "one hundred seventeen million, six hundred forty-nine thousand, six hundred".