117504000 has 384 divisors, whose sum is σ = 459950400. Its totient is φ = 29491200.

The previous prime is 117503989. The next prime is 117504011. The reversal of 117504000 is 405711.

It is an interprime number because it is at equal distance from previous prime (117503989) and next prime (117504011).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911992 + ... + 6912008.

Almost surely, 2^117504000 is an apocalyptic number.

117504000 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 117504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

117504000 is an abundant number, since it is smaller than the sum of its proper divisors (342446400).

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

117504000 is an equidigital number, since it uses as much as digits as its factorization.

117504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 117504000 is about 10839.9261990108. The cubic root of 117504000 is about 489.7986122301.

Adding to 117504000 its reverse (405711), we get a palindrome (117909711).

The spelling of 117504000 in words is "one hundred seventeen million, five hundred four thousand".