116854920 has 512 divisors, whose sum is σ = 508032000. Its totient is φ = 23224320.

The previous prime is 116854909. The next prime is 116854931. The reversal of 116854920 is 29458611.

116854920 = 358² + 359² + ... + 734².

116854920 is a `hidden beast` number, since 1 + 168 + 5 + 492 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116854909) and next prime (116854931).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2850100 + ... + 2850140.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 2^116854920 is an apocalyptic number.

116854920 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 116854920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

116854920 is an abundant number, since it is smaller than the sum of its proper divisors (391177080).

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

116854920 is a wasteful number, since it uses less digits than its factorization.

116854920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 116854920 is about 10809.9454207688. The cubic root of 116854920 is about 488.8950808062.

The spelling of 116854920 in words is "one hundred sixteen million, eight hundred fifty-four thousand, nine hundred twenty".