116581680 has 140 divisors (see below), whose sum is σ = 406596000. Its totient is φ = 31072896.

The previous prime is 116581651. The next prime is 116581691. The reversal of 116581680 is 86185611.

116581680 is a `hidden beast` number, since 1 + 16 + 581 + 68 + 0 = 666.

It is a super-2 number, since 2×116581680² = 27182576223244800, which contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 57321 + ... + 59319.

Almost surely, 2^116581680 is an apocalyptic number.

116581680 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 116581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203298000).

116581680 is an abundant number, since it is smaller than the sum of its proper divisors (290014320).

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

116581680 is an equidigital number, since it uses as much as digits as its factorization.

116581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 116581680 is about 10797.2996624156. The cubic root of 116581680 is about 488.5137248827.

The spelling of 116581680 in words is "one hundred sixteen million, five hundred eighty-one thousand, six hundred eighty".