115024000 has 256 divisors, whose sum is σ = 356428800. Its totient is φ = 35942400.

The previous prime is 115023971. The next prime is 115024031. The reversal of 115024000 is 420511.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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, 1455961 + ... + 1456039.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^115024000 is an apocalyptic number.

115024000 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 115024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

115024000 is an abundant number, since it is smaller than the sum of its proper divisors (241404800).

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

115024000 is an equidigital number, since it uses as much as digits as its factorization.

115024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 115024000 is about 10724.9242421567. The cubic root of 115024000 is about 486.3282399329.

Adding to 115024000 its reverse (420511), we get a palindrome (115444511).

The spelling of 115024000 in words is "one hundred fifteen million, twenty-four thousand".