115906644 has 144 divisors (see below), whose sum is σ = 355869696. Its totient is φ = 31104000.

The previous prime is 115906643. The next prime is 115906657. The reversal of 115906644 is 446609511.

115906644 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 0 + 6 + 644 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 115906599 and 115906608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115906643) 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, 288844 + ... + 289244.

Almost surely, 2^115906644 is an apocalyptic number.

115906644 is a gapful number since it is divisible by the number (14) 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 115906644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177934848).

115906644 is an abundant number, since it is smaller than the sum of its proper divisors (239963052).

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

115906644 is a wasteful number, since it uses less digits than its factorization.

115906644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 115906644 is about 10765.9947984383. The cubic root of 115906644 is about 487.5690284896.

The spelling of 115906644 in words is "one hundred fifteen million, nine hundred six thousand, six hundred forty-four".