115586352 has 240 divisors, whose sum is σ = 398641152. Its totient is φ = 31726080.

The previous prime is 115586333. The next prime is 115586353. The reversal of 115586352 is 253685511.

It is a happy number.

115586352 is a `hidden beast` number, since 1 + 15 + 5 + 8 + 635 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (36000) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (115586353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843628 + ... + 843764.

Almost surely, 2^115586352 is an apocalyptic number.

115586352 is a gapful number since it is divisible by the number (12) 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 115586352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199320576).

115586352 is an abundant number, since it is smaller than the sum of its proper divisors (283054800).

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

115586352 is a wasteful number, since it uses less digits than its factorization.

115586352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 115586352 is about 10751.1093381102. The cubic root of 115586352 is about 487.1195042823.

The spelling of 115586352 in words is "one hundred fifteen million, five hundred eighty-six thousand, three hundred fifty-two".