115342560 has 144 divisors (see below), whose sum is σ = 396736704. Its totient is φ = 30514176.

The previous prime is 115342547. The next prime is 115342567. The reversal of 115342560 is 65243511.

115342560 is a `hidden beast` number, since 11 + 53 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×115342560² = 26607812294707200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115342567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248889 + ... + 249351.

It is an arithmetic number, because the mean of its divisors is an integer number (2755116).

Almost surely, 2^115342560 is an apocalyptic number.

115342560 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 115342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198368352).

115342560 is an abundant number, since it is smaller than the sum of its proper divisors (281394144).

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

115342560 is a wasteful number, since it uses less digits than its factorization.

115342560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 115342560 is about 10739.7653605654. The cubic root of 115342560 is about 486.7767895746.

The spelling of 115342560 in words is "one hundred fifteen million, three hundred forty-two thousand, five hundred sixty".