116882208 has 72 divisors (see below), whose sum is σ = 351950508. Its totient is φ = 36667392.

The previous prime is 116882203. The next prime is 116882221. The reversal of 116882208 is 802288611.

It can be written as a sum of positive squares in 2 ways, for example, as 116380944 + 501264 = 10788^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×116882208² = 27322901093910528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (116882201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7041 + ... + 16832.

Almost surely, 2^116882208 is an apocalyptic number.

116882208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116882208 is an abundant number, since it is smaller than the sum of its proper divisors (235068300).

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

116882208 is a wasteful number, since it uses less digits than its factorization.

116882208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23906 (or 23895 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 116882208 is about 10811.2075181267. The cubic root of 116882208 is about 488.9331334919.

The spelling of 116882208 in words is "one hundred sixteen million, eight hundred eighty-two thousand, two hundred eight".