115584840 has 128 divisors (see below), whose sum is σ = 440352000. Its totient is φ = 26417664.

The previous prime is 115584839. The next prime is 115584851. The reversal of 115584840 is 48485511.

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 = 115584795 and 115584804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85 + ... + 15204.

It is an arithmetic number, because the mean of its divisors is an integer number (3440250).

Almost surely, 2^115584840 is an apocalyptic number.

115584840 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 115584840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220176000).

115584840 is an abundant number, since it is smaller than the sum of its proper divisors (324767160).

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

115584840 is a wasteful number, since it uses less digits than its factorization.

115584840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15316 (or 15306 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 115584840 is about 10751.0390195553. The cubic root of 115584840 is about 487.1173802486.

The spelling of 115584840 in words is "one hundred fifteen million, five hundred eighty-four thousand, eight hundred forty".