115205760 has 256 divisors, whose sum is σ = 418608000. Its totient is φ = 29933568.

The previous prime is 115205749. The next prime is 115205771. The reversal of 115205760 is 67502511.

It is an interprime number because it is at equal distance from previous prime (115205749) and next prime (115205771).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1019464 + ... + 1019576.

Almost surely, 2^115205760 is an apocalyptic number.

115205760 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 115205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209304000).

115205760 is an abundant number, since it is smaller than the sum of its proper divisors (303402240).

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

115205760 is a wasteful number, since it uses less digits than its factorization.

115205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 115205760 is about 10733.3946168023. The cubic root of 115205760 is about 486.5842691134.

The spelling of 115205760 in words is "one hundred fifteen million, two hundred five thousand, seven hundred sixty".