116813952 has 96 divisors (see below), whose sum is σ = 347093760. Its totient is φ = 37670400.

The previous prime is 116813911. The next prime is 116813969. The reversal of 116813952 is 259318611.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34077 + ... + 37347.

It is an arithmetic number, because the mean of its divisors is an integer number (3615560).

Almost surely, 2^116813952 is an apocalyptic number.

116813952 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 116813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173546880).

116813952 is an abundant number, since it is smaller than the sum of its proper divisors (230279808).

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

116813952 is a wasteful number, since it uses less digits than its factorization.

116813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3307 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 116813952 is about 10808.0503329694. The cubic root of 116813952 is about 488.8379404513.

The spelling of 116813952 in words is "one hundred sixteen million, eight hundred thirteen thousand, nine hundred fifty-two".