115953600 has 504 divisors, whose sum is σ = 484723440. Its totient is φ = 24084480.

The previous prime is 115953587. The next prime is 115953613. The reversal of 115953600 is 6359511.

It is an interprime number because it is at equal distance from previous prime (115953587) and next prime (115953613).

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 71 ways as a sum of consecutive naturals, for example, 3998386 + ... + 3998414.

Almost surely, 2^115953600 is an apocalyptic number.

115953600 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 115953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242361720).

115953600 is an abundant number, since it is smaller than the sum of its proper divisors (368769840).

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

115953600 is a wasteful number, since it uses less digits than its factorization.

115953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 115953600 is about 10768.1753328965. The cubic root of 115953600 is about 487.6348607824.

The spelling of 115953600 in words is "one hundred fifteen million, nine hundred fifty-three thousand, six hundred".