117558000 has 320 divisors, whose sum is σ = 482826240. Its totient is φ = 26784000.

The previous prime is 117557987. The next prime is 117558013. The reversal of 117558000 is 855711.

117558000 is a `hidden beast` number, since 11 + 75 + 580 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117557987) and next prime (117558013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377845 + ... + 378155.

It is an arithmetic number, because the mean of its divisors is an integer number (1508832).

Almost surely, 2^117558000 is an apocalyptic number.

117558000 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 117558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241413120).

117558000 is an abundant number, since it is smaller than the sum of its proper divisors (365268240).

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

117558000 is a wasteful number, since it uses less digits than its factorization.

117558000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 117558000 is about 10842.4167047757. The cubic root of 117558000 is about 489.8736311641.

The spelling of 117558000 in words is "one hundred seventeen million, five hundred fifty-eight thousand".