115684128 has 72 divisors (see below), whose sum is σ = 375979968. Its totient is φ = 33052032.

The previous prime is 115684123. The next prime is 115684171. The reversal of 115684128 is 821486511.

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

It is a super-2 number, since 2×115684128² = 26765634942240768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 115684092 and 115684101.

It is not an unprimeable number, because it can be changed into a prime (115684123) 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, 26676 + ... + 30707.

It is an arithmetic number, because the mean of its divisors is an integer number (5221944).

Almost surely, 2^115684128 is an apocalyptic number.

115684128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

115684128 is an abundant number, since it is smaller than the sum of its proper divisors (260295840).

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

115684128 is a wasteful number, since it uses less digits than its factorization.

115684128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57406 (or 57395 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 115684128 is about 10755.6556285519. The cubic root of 115684128 is about 487.2568191476.

The spelling of 115684128 in words is "one hundred fifteen million, six hundred eighty-four thousand, one hundred twenty-eight".