117832000 has 224 divisors, whose sum is σ = 346155264. Its totient is φ = 39168000.

The previous prime is 117831983. The next prime is 117832007. The reversal of 117832000 is 238711.

117832000 = 363² + 364² + ... + 737².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117832007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143949 + ... + 1144051.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^117832000 is an apocalyptic number.

117832000 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 117832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173077632).

117832000 is an abundant number, since it is smaller than the sum of its proper divisors (228323264).

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

117832000 is a wasteful number, since it uses less digits than its factorization.

117832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 117832000 is about 10855.0449100867. The cubic root of 117832000 is about 490.2539291934.

The spelling of 117832000 in words is "one hundred seventeen million, eight hundred thirty-two thousand".