115646400 has 168 divisors, whose sum is σ = 421731440. Its totient is φ = 30827520.

The previous prime is 115646389. The next prime is 115646411. The reversal of 115646400 is 4646511.

115646400 is a `hidden beast` number, since 1 + 15 + 6 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115646389) and next prime (115646411).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41862 + ... + 44538.

Almost surely, 2^115646400 is an apocalyptic number.

115646400 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 115646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210865720).

115646400 is an abundant number, since it is smaller than the sum of its proper divisors (306085040).

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

115646400 is a wasteful number, since it uses less digits than its factorization.

115646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 115646400 is about 10753.9016175526. The cubic root of 115646400 is about 487.2038437902.

The spelling of 115646400 in words is "one hundred fifteen million, six hundred forty-six thousand, four hundred".