117163200 has 336 divisors, whose sum is σ = 480754944. Its totient is φ = 24268800.

The previous prime is 117163187. The next prime is 117163213. The reversal of 117163200 is 2361711.

It is an interprime number because it is at equal distance from previous prime (117163187) and next prime (117163213).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369442 + ... + 369758.

Almost surely, 2^117163200 is an apocalyptic number.

117163200 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 117163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240377472).

117163200 is an abundant number, since it is smaller than the sum of its proper divisors (363591744).

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

117163200 is a wasteful number, since it uses less digits than its factorization.

117163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 117163200 is about 10824.1951201925. The cubic root of 117163200 is about 489.3246283515.

The spelling of 117163200 in words is "one hundred seventeen million, one hundred sixty-three thousand, two hundred".