116412660 has 384 divisors, whose sum is σ = 469647360. Its totient is φ = 23265792.

The previous prime is 116412643. The next prime is 116412689. The reversal of 116412660 is 66214611.

116412660 is a `hidden beast` number, since 11 + 641 + 2 + 6 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1130169 + ... + 1130271.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 2^116412660 is an apocalyptic number.

116412660 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 116412660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).

116412660 is an abundant number, since it is smaller than the sum of its proper divisors (353234700).

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

116412660 is a wasteful number, since it uses less digits than its factorization.

116412660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116412660 is about 10789.4698664948. The cubic root of 116412660 is about 488.2775284678.

It can be divided in two parts, 1164 and 12660, that added together give a cube (13824 = 24³).

The spelling of 116412660 in words is "one hundred sixteen million, four hundred twelve thousand, six hundred sixty".