116519760 has 240 divisors, whose sum is σ = 455744640. Its totient is φ = 26127360.

The previous prime is 116519759. The next prime is 116519789. The reversal of 116519760 is 67915611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307251 + ... + 307629.

It is an arithmetic number, because the mean of its divisors is an integer number (1898936).

Almost surely, 2^116519760 is an apocalyptic number.

116519760 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 116519760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227872320).

116519760 is an abundant number, since it is smaller than the sum of its proper divisors (339224880).

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

116519760 is a wasteful number, since it uses less digits than its factorization.

116519760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 116519760 is about 10794.4318979741. The cubic root of 116519760 is about 488.4272215065.

The spelling of 116519760 in words is "one hundred sixteen million, five hundred nineteen thousand, seven hundred sixty".