117164080 has 80 divisors (see below), whose sum is σ = 299052288. Its totient is φ = 42336000.

The previous prime is 117164059. The next prime is 117164083. The reversal of 117164080 is 80461711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117164083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185365 + ... + 185995.

Almost surely, 2^117164080 is an apocalyptic number.

117164080 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 117164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149526144).

117164080 is an abundant number, since it is smaller than the sum of its proper divisors (181888208).

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

117164080 is a wasteful number, since it uses less digits than its factorization.

117164080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 117164080 is about 10824.2357697899. The cubic root of 117164080 is about 489.3258534364.

The spelling of 117164080 in words is "one hundred seventeen million, one hundred sixty-four thousand, eighty".