115626312 has 128 divisors (see below), whose sum is σ = 335808000. Its totient is φ = 36832320.

The previous prime is 115626283. The next prime is 115626317. The reversal of 115626312 is 213626511.

115626312 is a `hidden beast` number, since 1 + 1 + 5 + 626 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115626317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547887 + ... + 548097.

It is an arithmetic number, because the mean of its divisors is an integer number (2623500).

Almost surely, 2^115626312 is an apocalyptic number.

115626312 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 115626312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167904000).

115626312 is an abundant number, since it is smaller than the sum of its proper divisors (220181688).

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

115626312 is a wasteful number, since it uses less digits than its factorization.

115626312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 115626312 is about 10752.9675903910. The cubic root of 115626312 is about 487.1756327447.

The spelling of 115626312 in words is "one hundred fifteen million, six hundred twenty-six thousand, three hundred twelve".