117891180 has 192 divisors, whose sum is σ = 406425600. Its totient is φ = 28131840.

The previous prime is 117891173. The next prime is 117891197. The reversal of 117891180 is 81198711.

117891180 = T₁ + T₂ + ... + T₈₉₀.

It is a happy number.

117891180 is a nontrivial binomial coefficient, being equal to C(892, 3).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is the 890-th tetrahedral number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528549 + ... + 528771.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^117891180 is an apocalyptic number.

117891180 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 117891180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

117891180 is an abundant number, since it is smaller than the sum of its proper divisors (288534420).

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

117891180 is a wasteful number, since it uses less digits than its factorization.

117891180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The square root of 117891180 is about 10857.7704893776. The cubic root of 117891180 is about 490.3359905793.

The spelling of 117891180 in words is "one hundred seventeen million, eight hundred ninety-one thousand, one hundred eighty".