117761904 has 120 divisors (see below), whose sum is σ = 366248880. Its totient is φ = 36211968.

The previous prime is 117761899. The next prime is 117761927. The reversal of 117761904 is 409167711.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72202 + ... + 73814.

It is an arithmetic number, because the mean of its divisors is an integer number (3052074).

Almost surely, 2^117761904 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 117761904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183124440).

117761904 is an abundant number, since it is smaller than the sum of its proper divisors (248486976).

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

117761904 is a wasteful number, since it uses less digits than its factorization.

117761904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 117761904 is about 10851.8157006097. The cubic root of 117761904 is about 490.1566956858.

The spelling of 117761904 in words is "one hundred seventeen million, seven hundred sixty-one thousand, nine hundred four".