116516610 has 96 divisors (see below), whose sum is σ = 361480320. Its totient is φ = 26629344.

The previous prime is 116516599. The next prime is 116516633. The reversal of 116516610 is 16615611.

116516610 is a `hidden beast` number, since 1 + 1 + 651 + 6 + 6 + 1 + 0 = 666.

It is a super-2 number, since 2×116516610² = 27152240811784200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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, 8827 + ... + 17633.

It is an arithmetic number, because the mean of its divisors is an integer number (3765420).

Almost surely, 2^116516610 is an apocalyptic number.

116516610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116516610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180740160).

116516610 is an abundant number, since it is smaller than the sum of its proper divisors (244963710).

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

116516610 is a wasteful number, since it uses less digits than its factorization.

116516610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 116516610 is about 10794.2859884292. The cubic root of 116516610 is about 488.4228200797.

Subtracting from 116516610 its reverse (16615611), we obtain a palindrome (99900999).

The spelling of 116516610 in words is "one hundred sixteen million, five hundred sixteen thousand, six hundred ten".