115643600 has 30 divisors (see below), whose sum is σ = 277834710. Its totient is φ = 46257280.

The previous prime is 115643579. The next prime is 115643621. The reversal of 115643600 is 6346511.

It is an interprime number because it is at equal distance from previous prime (115643579) and next prime (115643621).

It can be written as a sum of positive squares in 3 ways, for example, as 8976016 + 106667584 = 2996^2 + 10328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 115643600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144155 + ... + 144954.

It is an arithmetic number, because the mean of its divisors is an integer number (9261157).

Almost surely, 2^115643600 is an apocalyptic number.

115643600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115643600 is an abundant number, since it is smaller than the sum of its proper divisors (162191110).

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

115643600 is a wasteful number, since it uses less digits than its factorization.

115643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289127 (or 289116 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 115643600 is about 10753.7714314560. The cubic root of 115643600 is about 487.1999117417.

The spelling of 115643600 in words is "one hundred fifteen million, six hundred forty-three thousand, six hundred".