116629632 has 160 divisors (see below), whose sum is σ = 396918720. Its totient is φ = 33302016.

The previous prime is 116629603. The next prime is 116629633. The reversal of 116629632 is 236926611.

It is a happy number.

116629632 is a `hidden beast` number, since 1 + 16 + 6 + 2 + 9 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116629633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71773 + ... + 73379.

It is an arithmetic number, because the mean of its divisors is an integer number (2480742).

Almost surely, 2^116629632 is an apocalyptic number.

116629632 is a gapful number since it is divisible by the number (12) 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 116629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198459360).

116629632 is an abundant number, since it is smaller than the sum of its proper divisors (280289088).

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

116629632 is an equidigital number, since it uses as much as digits as its factorization.

116629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1619 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 116629632 is about 10799.5199893329. The cubic root of 116629632 is about 488.5806936642.

The spelling of 116629632 in words is "one hundred sixteen million, six hundred twenty-nine thousand, six hundred thirty-two".