115946640 has 200 divisors, whose sum is σ = 417261240. Its totient is φ = 29804544.

The previous prime is 115946599. The next prime is 115946651. The reversal of 115946640 is 46649511.

115946640 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 4 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 115863696 = 288^2 + 10764^2 .

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 = 115946595 and 115946604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187612 + ... + 188228.

Almost surely, 2^115946640 is an apocalyptic number.

115946640 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 115946640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208630620).

115946640 is an abundant number, since it is smaller than the sum of its proper divisors (301314600).

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

115946640 is a wasteful number, since it uses less digits than its factorization.

115946640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 656 counting only the distinct ones).

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

The square root of 115946640 is about 10767.8521535170. The cubic root of 115946640 is about 487.6251039873.

The spelling of 115946640 in words is "one hundred fifteen million, nine hundred forty-six thousand, six hundred forty".