117064000 has 56 divisors (see below), whose sum is σ = 289928808. Its totient is φ = 46822400.

The previous prime is 117063983. The next prime is 117064001. The reversal of 117064000 is 460711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34762816 + 82301184 = 5896^2 + 9072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117064001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684 + ... + 15316.

Almost surely, 2^117064000 is an apocalyptic number.

117064000 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 117064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144964404).

117064000 is an abundant number, since it is smaller than the sum of its proper divisors (172864808).

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

117064000 is an equidigital number, since it uses as much as digits as its factorization.

117064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660 (or 14640 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 117064000 is about 10819.6118229815. The cubic root of 117064000 is about 489.1864885340.

The spelling of 117064000 in words is "one hundred seventeen million, sixty-four thousand".