115638000 has 80 divisors (see below), whose sum is σ = 372836256. Its totient is φ = 30835200.

The previous prime is 115637983. The next prime is 115638011. The reversal of 115638000 is 836511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3637 + ... + 15636.

Almost surely, 2^115638000 is an apocalyptic number.

115638000 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 115638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186418128).

115638000 is an abundant number, since it is smaller than the sum of its proper divisors (257198256).

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

115638000 is a wasteful number, since it uses less digits than its factorization.

115638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19299 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 115638000 is about 10753.5110545347. The cubic root of 115638000 is about 487.1920474542.

The spelling of 115638000 in words is "one hundred fifteen million, six hundred thirty-eight thousand".