116735904 has 120 divisors (see below), whose sum is σ = 355384260. Its totient is φ = 37545984.

The previous prime is 116735903. The next prime is 116735917. The reversal of 116735904 is 409537611.

116735904 is a `hidden beast` number, since 1 + 1 + 67 + 3 + 590 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111260304 + 5475600 = 10548^2 + 2340^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116735903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74392 + ... + 75944.

Almost surely, 2^116735904 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 116735904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177692130).

116735904 is an abundant number, since it is smaller than the sum of its proper divisors (238648356).

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

116735904 is a wasteful number, since it uses less digits than its factorization.

116735904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 116735904 is about 10804.4390877083. The cubic root of 116735904 is about 488.7290455713.

The spelling of 116735904 in words is "one hundred sixteen million, seven hundred thirty-five thousand, nine hundred four".