115001640 has 128 divisors (see below), whose sum is σ = 412876800. Its totient is φ = 28304640.

The previous prime is 115001629. The next prime is 115001657. The reversal of 115001640 is 46100511.

115001640 is a `hidden beast` number, since 1 + 1 + 500 + 164 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9945 + ... + 18135.

It is an arithmetic number, because the mean of its divisors is an integer number (3225600).

Almost surely, 2^115001640 is an apocalyptic number.

115001640 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 115001640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206438400).

115001640 is an abundant number, since it is smaller than the sum of its proper divisors (297875160).

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

115001640 is a wasteful number, since it uses less digits than its factorization.

115001640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 115001640 is about 10723.8817598853. The cubic root of 115001640 is about 486.2967247588.

The spelling of 115001640 in words is "one hundred fifteen million, one thousand, six hundred forty".