115038768 has 160 divisors (see below), whose sum is σ = 348866560. Its totient is φ = 32348160.

The previous prime is 115038701. The next prime is 115038769. The reversal of 115038768 is 867830511.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (115038769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367380 + ... + 367692.

It is an arithmetic number, because the mean of its divisors is an integer number (2180416).

Almost surely, 2^115038768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115038768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174433280).

115038768 is an abundant number, since it is smaller than the sum of its proper divisors (233827792).

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

115038768 is a wasteful number, since it uses less digits than its factorization.

115038768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 115038768 is about 10725.6127097709. The cubic root of 115038768 is about 486.3490523666.

The spelling of 115038768 in words is "one hundred fifteen million, thirty-eight thousand, seven hundred sixty-eight".