115415760 has 80 divisors (see below), whose sum is σ = 359102016. Its totient is φ = 30664704.

The previous prime is 115415743. The next prime is 115415777. The reversal of 115415760 is 67514511.

It is an interprime number because it is at equal distance from previous prime (115415743) and next prime (115415777).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 80167 + ... + 81593.

Almost surely, 2^115415760 is an apocalyptic number.

115415760 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 115415760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179551008).

115415760 is an abundant number, since it is smaller than the sum of its proper divisors (243686256).

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

115415760 is a wasteful number, since it uses less digits than its factorization.

115415760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 115415760 is about 10743.1727157297. The cubic root of 115415760 is about 486.8797423960.

The spelling of 115415760 in words is "one hundred fifteen million, four hundred fifteen thousand, seven hundred sixty".