115564000 has 96 divisors (see below), whose sum is σ = 287292096. Its totient is φ = 45683200.

The previous prime is 115563989. The next prime is 115564027. The reversal of 115564000 is 465511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667914 + ... + 668086.

It is an arithmetic number, because the mean of its divisors is an integer number (2992626).

Almost surely, 2^115564000 is an apocalyptic number.

115564000 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 115564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143646048).

115564000 is an abundant number, since it is smaller than the sum of its proper divisors (171728096).

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

115564000 is a wasteful number, since it uses less digits than its factorization.

115564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 115564000 is about 10750.0697672155. The cubic root of 115564000 is about 487.0881026595.

The spelling of 115564000 in words is "one hundred fifteen million, five hundred sixty-four thousand".