116633520 has 200 divisors, whose sum is σ = 415910880. Its totient is φ = 30274560.

The previous prime is 116633519. The next prime is 116633527. The reversal of 116633520 is 25336611.

116633520 is a `hidden beast` number, since 1 + 1 + 6 + 633 + 5 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116633527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265461 + ... + 265899.

Almost surely, 2^116633520 is an apocalyptic number.

116633520 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 116633520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207955440).

116633520 is an abundant number, since it is smaller than the sum of its proper divisors (299277360).

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

116633520 is a wasteful number, since it uses less digits than its factorization.

116633520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 116633520 is about 10799.6999958332. The cubic root of 116633520 is about 488.5861227608.

The spelling of 116633520 in words is "one hundred sixteen million, six hundred thirty-three thousand, five hundred twenty".