115945830 has 360 divisors, whose sum is σ = 424082736. Its totient is φ = 22239360.

The previous prime is 115945813. The next prime is 115945853. The reversal of 115945830 is 38549511.

115945830 is a `hidden beast` number, since 11 + 594 + 58 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8918904 + ... + 8918916.

Almost surely, 2^115945830 is an apocalyptic number.

115945830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115945830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212041368).

115945830 is an abundant number, since it is smaller than the sum of its proper divisors (308136906).

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

115945830 is a wasteful number, since it uses less digits than its factorization.

115945830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 115945830 is about 10767.8145414936. The cubic root of 115945830 is about 487.6239684729.

It can be divided in two parts, 11594 and 5830, that added together give a square (17424 = 132²).

The spelling of 115945830 in words is "one hundred fifteen million, nine hundred forty-five thousand, eight hundred thirty".