32576080 has 60 divisors (see below), whose sum is σ = 80513820. Its totient is φ = 12255232.

The previous prime is 32576059. The next prime is 32576081. The reversal of 32576080 is 8067523.

It can be written as a sum of positive squares in 6 ways, for example, as 404496 + 32171584 = 636^2 + 5672^2 .

It is a super-2 number, since 2×32576080² = 2122401976332800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32576081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22416 + ... + 23824.

It is an arithmetic number, because the mean of its divisors is an integer number (1341897).

Almost surely, 2^32576080 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 32576080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40256910).

32576080 is an abundant number, since it is smaller than the sum of its proper divisors (47937740).

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

32576080 is a wasteful number, since it uses less digits than its factorization.

32576080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 32576080 is about 5707.5458824262. The cubic root of 32576080 is about 319.3740367463.

The spelling of 32576080 in words is "thirty-two million, five hundred seventy-six thousand, eighty".