115507764 has 72 divisors (see below), whose sum is σ = 313971840. Its totient is φ = 35690112.

The previous prime is 115507757. The next prime is 115507787. The reversal of 115507764 is 467705511.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30352 + ... + 33944.

It is an arithmetic number, because the mean of its divisors is an integer number (4360720).

Almost surely, 2^115507764 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 115507764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156985920).

115507764 is an abundant number, since it is smaller than the sum of its proper divisors (198464076).

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

115507764 is a wasteful number, since it uses less digits than its factorization.

115507764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 115507764 is about 10747.4538380027. The cubic root of 115507764 is about 487.0090805565.

The spelling of 115507764 in words is "one hundred fifteen million, five hundred seven thousand, seven hundred sixty-four".