116406576 has 120 divisors (see below), whose sum is σ = 382798416. Its totient is φ = 32555520.

The previous prime is 116406569. The next prime is 116406637. The reversal of 116406576 is 675604611.

116406576 is a `hidden beast` number, since 1 + 1 + 640 + 6 + 5 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116406576.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17766 + ... + 23418.

Almost surely, 2^116406576 is an apocalyptic number.

116406576 is a gapful number since it is divisible by the number (16) 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 116406576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191399208).

116406576 is an abundant number, since it is smaller than the sum of its proper divisors (266391840).

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

116406576 is a wasteful number, since it uses less digits than its factorization.

116406576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 116406576 is about 10789.1879212478. The cubic root of 116406576 is about 488.2690221415.

The spelling of 116406576 in words is "one hundred sixteen million, four hundred six thousand, five hundred seventy-six".