115578064 has 60 divisors (see below), whose sum is σ = 274238400. Its totient is φ = 46920384.

The previous prime is 115578061. The next prime is 115578077. The reversal of 115578064 is 460875511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115578061) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11017 + ... + 18775.

It is an arithmetic number, because the mean of its divisors is an integer number (4570640).

Almost surely, 2^115578064 is an apocalyptic number.

115578064 is a gapful number since it is divisible by the number (14) 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 115578064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137119200).

115578064 is an abundant number, since it is smaller than the sum of its proper divisors (158660336).

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

115578064 is a wasteful number, since it uses less digits than its factorization.

115578064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 115578064 is about 10750.7238826044. The cubic root of 115578064 is about 487.1078612036.

The spelling of 115578064 in words is "one hundred fifteen million, five hundred seventy-eight thousand, sixty-four".