115644000 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 29427200.

The previous prime is 115643999. The next prime is 115644007. The reversal of 115644000 is 446511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115644007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275791 + ... + 276209.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^115644000 is an apocalyptic number.

115644000 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 115644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

115644000 is an abundant number, since it is smaller than the sum of its proper divisors (280620960).

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

115644000 is a wasteful number, since it uses less digits than its factorization.

115644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 115644000 is about 10753.7900295663. The cubic root of 115644000 is about 487.2004734668.

The spelling of 115644000 in words is "one hundred fifteen million, six hundred forty-four thousand".