116582760 has 192 divisors, whose sum is σ = 452260800. Its totient is φ = 26635392.

The previous prime is 116582759. The next prime is 116582789. The reversal of 116582760 is 67285611.

116582760 is a `hidden beast` number, since 1 + 1 + 6 + 582 + 76 + 0 = 666.

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

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, 51819 + ... + 54021.

It is an arithmetic number, because the mean of its divisors is an integer number (2355525).

Almost surely, 2^116582760 is an apocalyptic number.

116582760 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 116582760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226130400).

116582760 is an abundant number, since it is smaller than the sum of its proper divisors (335678040).

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

116582760 is a wasteful number, since it uses less digits than its factorization.

116582760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 116582760 is about 10797.3496748045. The cubic root of 116582760 is about 488.5152333907.

The spelling of 116582760 in words is "one hundred sixteen million, five hundred eighty-two thousand, seven hundred sixty".