116761140 has 72 divisors (see below), whose sum is σ = 356116488. Its totient is φ = 30965760.

The previous prime is 116761129. The next prime is 116761157. The reversal of 116761140 is 41167611.

116761140 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 611 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11370384 + 105390756 = 3372^2 + 10266^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33060 + ... + 36420.

Almost surely, 2^116761140 is an apocalyptic number.

116761140 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 116761140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178058244).

116761140 is an abundant number, since it is smaller than the sum of its proper divisors (239355348).

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

116761140 is a wasteful number, since it uses less digits than its factorization.

116761140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 116761140 is about 10805.6068779130. The cubic root of 116761140 is about 488.7642608939.

The spelling of 116761140 in words is "one hundred sixteen million, seven hundred sixty-one thousand, one hundred forty".