117080064 has 96 divisors (see below), whose sum is σ = 339078090. Its totient is φ = 38928384.

The previous prime is 117080059. The next prime is 117080083. The reversal of 117080064 is 460080711.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 92160000 + 24920064 = 9600^2 + 4992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294714 + ... + 295110.

Almost surely, 2^117080064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169539045).

117080064 is an abundant number, since it is smaller than the sum of its proper divisors (221998026).

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

117080064 is an frugal number, since it uses more digits than its factorization.

117080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 117080064 is about 10820.3541531689. The cubic root of 117080064 is about 489.2088635663.

The spelling of 117080064 in words is "one hundred seventeen million, eighty thousand, sixty-four".