116633736 has 128 divisors (see below), whose sum is σ = 358214400. Its totient is φ = 34974720.

The previous prime is 116633729. The next prime is 116633747. The reversal of 116633736 is 637336611.

116633736 is a `hidden beast` number, since 1 + 16 + 633 + 7 + 3 + 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 116633736.

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 31 ways as a sum of consecutive naturals, for example, 83766 + ... + 85146.

It is an arithmetic number, because the mean of its divisors is an integer number (2798550).

Almost surely, 2^116633736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116633736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179107200).

116633736 is an abundant number, since it is smaller than the sum of its proper divisors (241580664).

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

116633736 is a wasteful number, since it uses less digits than its factorization.

116633736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1426 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 116633736 is about 10799.7099961064. The cubic root of 116633736 is about 488.5864243737.

The spelling of 116633736 in words is "one hundred sixteen million, six hundred thirty-three thousand, seven hundred thirty-six".