115766200 has 96 divisors (see below), whose sum is σ = 297101520. Its totient is φ = 41600000.

The previous prime is 115766197. The next prime is 115766207. The reversal of 115766200 is 2667511.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115766207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221940 + ... + 222460.

Almost surely, 2^115766200 is an apocalyptic number.

115766200 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 115766200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148550760).

115766200 is an abundant number, since it is smaller than the sum of its proper divisors (181335320).

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

115766200 is a wasteful number, since it uses less digits than its factorization.

115766200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 115766200 is about 10759.4702471822. The cubic root of 115766200 is about 487.3720198788.

The spelling of 115766200 in words is "one hundred fifteen million, seven hundred sixty-six thousand, two hundred".