116520768 has 420 divisors, whose sum is σ = 449945760. Its totient is φ = 29113344.

The previous prime is 116520751. The next prime is 116520769. The reversal of 116520768 is 867025611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116520769) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6132663 + ... + 6132681.

Almost surely, 2^116520768 is an apocalyptic number.

116520768 is a gapful number since it is divisible by the number (18) 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 116520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224972880).

116520768 is an abundant number, since it is smaller than the sum of its proper divisors (333424992).

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

116520768 is a wasteful number, since it uses less digits than its factorization.

116520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 116520768 is about 10794.4785886119. The cubic root of 116520768 is about 488.4286299464.

The spelling of 116520768 in words is "one hundred sixteen million, five hundred twenty thousand, seven hundred sixty-eight".