115695540 has 120 divisors (see below), whose sum is σ = 384382152. Its totient is φ = 29030400.

The previous prime is 115695527. The next prime is 115695553. The reversal of 115695540 is 45596511.

115695540 is a `hidden beast` number, since 1 + 1 + 569 + 55 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (115695527) and next prime (115695553).

It can be written as a sum of positive squares in 4 ways, for example, as 4435236 + 111260304 = 2106^2 + 10548^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115695495 and 115695504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25440 + ... + 29640.

Almost surely, 2^115695540 is an apocalyptic number.

115695540 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 115695540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192191076).

115695540 is an abundant number, since it is smaller than the sum of its proper divisors (268686612).

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

115695540 is a wasteful number, since it uses less digits than its factorization.

115695540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 115695540 is about 10756.1861270620. The cubic root of 115695540 is about 487.2728409133.

The spelling of 115695540 in words is "one hundred fifteen million, six hundred ninety-five thousand, five hundred forty".