32086080 has 168 divisors, whose sum is σ = 118990872. Its totient is φ = 7888896.

The previous prime is 32086073. The next prime is 32086091. The reversal of 32086080 is 8068023.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 27625536 = 2112^2 + 5256^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37012 + ... + 37868.

It is an arithmetic number, because the mean of its divisors is an integer number (708279).

Almost surely, 2^32086080 is an apocalyptic number.

32086080 is a gapful number since it is divisible by the number (30) 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 32086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59495436).

32086080 is an abundant number, since it is smaller than the sum of its proper divisors (86904792).

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

32086080 is a wasteful number, since it uses less digits than its factorization.

32086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 32086080 is about 5664.4576086330. The cubic root of 32086080 is about 317.7646294388.

The spelling of 32086080 in words is "thirty-two million, eighty-six thousand, eighty".