115390080 has 384 divisors, whose sum is σ = 454446720. Its totient is φ = 26763264.

The previous prime is 115390073. The next prime is 115390081. The reversal of 115390080 is 80093511.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (115390081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1722207 + ... + 1722273.

It is an arithmetic number, because the mean of its divisors is an integer number (1183455).

Almost surely, 2^115390080 is an apocalyptic number.

115390080 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 115390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227223360).

115390080 is an abundant number, since it is smaller than the sum of its proper divisors (339056640).

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

115390080 is a wasteful number, since it uses less digits than its factorization.

115390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 115390080 is about 10741.9774715832. The cubic root of 115390080 is about 486.8436294792.

The spelling of 115390080 in words is "one hundred fifteen million, three hundred ninety thousand, eighty".