117288000 has 280 divisors, whose sum is σ = 436299864. Its totient is φ = 31104000.

The previous prime is 117287999. The next prime is 117288019. The reversal of 117288000 is 882711.

It can be written as a sum of positive squares in 4 ways, for example, as 32353344 + 84934656 = 5688^2 + 9216^2 .

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 39 ways as a sum of consecutive naturals, for example, 647910 + ... + 648090.

Almost surely, 2^117288000 is an apocalyptic number.

117288000 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 117288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218149932).

117288000 is an abundant number, since it is smaller than the sum of its proper divisors (319011864).

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

117288000 is an equidigital number, since it uses as much as digits as its factorization.

117288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 117288000 is about 10829.9584486738. The cubic root of 117288000 is about 489.4983064453.

The spelling of 117288000 in words is "one hundred seventeen million, two hundred eighty-eight thousand".