115682840 has 128 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 35942400.

The previous prime is 115682813. The next prime is 115682863. The reversal of 115682840 is 48286511.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 115682840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221780 + ... + 222300.

It is an arithmetic number, because the mean of its divisors is an integer number (2548665).

Almost surely, 2^115682840 is an apocalyptic number.

115682840 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 115682840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

115682840 is an abundant number, since it is smaller than the sum of its proper divisors (210546280).

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

115682840 is a wasteful number, since it uses less digits than its factorization.

115682840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 115682840 is about 10755.5957529093. The cubic root of 115682840 is about 487.2550108064.

The spelling of 115682840 in words is "one hundred fifteen million, six hundred eighty-two thousand, eight hundred forty".