115586016 has 192 divisors, whose sum is σ = 380007936. Its totient is φ = 29952000.

The previous prime is 115585993. The next prime is 115586027. The reversal of 115586016 is 610685511.

It is a super-3 number, since 3×115586016³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882271 + ... + 882401.

It is an arithmetic number, because the mean of its divisors is an integer number (1979208).

Almost surely, 2^115586016 is an apocalyptic number.

115586016 is a gapful number since it is divisible by the number (16) 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 115586016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190003968).

115586016 is an abundant number, since it is smaller than the sum of its proper divisors (264421920).

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

115586016 is a wasteful number, since it uses less digits than its factorization.

115586016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 115586016 is about 10751.0937118044. The cubic root of 115586016 is about 487.1190322764.

The spelling of 115586016 in words is "one hundred fifteen million, five hundred eighty-six thousand, sixteen".