117608400 has 360 divisors, whose sum is σ = 503717760. Its totient is φ = 24744960.

The previous prime is 117608399. The next prime is 117608401. The reversal of 117608400 is 4806711.

It is a happy number.

117608400 is a `hidden beast` number, since 1 + 17 + 608 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117608399) and next prime (117608401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117608401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327421 + ... + 327779.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 2^117608400 is an apocalyptic number.

117608400 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 117608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251858880).

117608400 is an abundant number, since it is smaller than the sum of its proper divisors (386109360).

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

117608400 is a wasteful number, since it uses less digits than its factorization.

117608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

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

The square root of 117608400 is about 10844.7406607996. The cubic root of 117608400 is about 489.9436281117.

The spelling of 117608400 in words is "one hundred seventeen million, six hundred eight thousand, four hundred".