32808960 has 168 divisors, whose sum is σ = 115008660. Its totient is φ = 8650752.

The previous prime is 32808949. The next prime is 32808967. The reversal of 32808960 is 6980823.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 1806336 = 5568^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32808967) 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, 368596 + ... + 368684.

Almost surely, 2^32808960 is an apocalyptic number.

32808960 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 32808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57504330).

32808960 is an abundant number, since it is smaller than the sum of its proper divisors (82199700).

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

32808960 is an equidigital number, since it uses as much as digits as its factorization.

32808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 32808960 is about 5727.9106138277. The cubic root of 32808960 is about 320.1332778163.

The spelling of 32808960 in words is "thirty-two million, eight hundred eight thousand, nine hundred sixty".