115964208 has 120 divisors (see below), whose sum is σ = 347263488. Its totient is φ = 35997696.

The previous prime is 115964161. The next prime is 115964221. The reversal of 115964208 is 802469511.

115964208 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 642 + 0 + 8 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310710 + ... + 311082.

Almost surely, 2^115964208 is an apocalyptic number.

115964208 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 115964208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173631744).

115964208 is an abundant number, since it is smaller than the sum of its proper divisors (231299280).

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

115964208 is a wasteful number, since it uses less digits than its factorization.

115964208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

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

The square root of 115964208 is about 10768.6678841907. The cubic root of 115964208 is about 487.6497307328.

The spelling of 115964208 in words is "one hundred fifteen million, nine hundred sixty-four thousand, two hundred eight".