115566000 has 320 divisors, whose sum is σ = 434543616. Its totient is φ = 26112000.

The previous prime is 115565993. The next prime is 115566001. The reversal of 115566000 is 665511.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (115566001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121949 + ... + 1122051.

Almost surely, 2^115566000 is an apocalyptic number.

115566000 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 115566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217271808).

115566000 is an abundant number, since it is smaller than the sum of its proper divisors (318977616).

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

115566000 is a wasteful number, since it uses less digits than its factorization.

115566000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 115566000 is about 10750.1627894651. The cubic root of 115566000 is about 487.0909125616.

The spelling of 115566000 in words is "one hundred fifteen million, five hundred sixty-six thousand".