115814640 has 80 divisors (see below), whose sum is σ = 365155200. Its totient is φ = 30356736.

The previous prime is 115814537. The next prime is 115814651. The reversal of 115814640 is 46418511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 115814598 and 115814607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10071 + ... + 18249.

It is an arithmetic number, because the mean of its divisors is an integer number (4564440).

Almost surely, 2^115814640 is an apocalyptic number.

115814640 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 115814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182577600).

115814640 is an abundant number, since it is smaller than the sum of its proper divisors (249340560).

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

115814640 is a wasteful number, since it uses less digits than its factorization.

115814640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 115814640 is about 10761.7210519508. The cubic root of 115814640 is about 487.4399873529.

The spelling of 115814640 in words is "one hundred fifteen million, eight hundred fourteen thousand, six hundred forty".