32820840 has 96 divisors (see below), whose sum is σ = 114889320. Its totient is φ = 8077824.

The previous prime is 32820817. The next prime is 32820877. The reversal of 32820840 is 4802823.

It can be written as a sum of positive squares in 4 ways, for example, as 26071236 + 6749604 = 5106^2 + 2598^2 .

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, 1174 + ... + 8186.

Almost surely, 2^32820840 is an apocalyptic number.

32820840 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 32820840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57444660).

32820840 is an abundant number, since it is smaller than the sum of its proper divisors (82068480).

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

32820840 is a wasteful number, since it uses less digits than its factorization.

32820840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 32820840 is about 5728.9475473249. The cubic root of 32820840 is about 320.1719128355.

The spelling of 32820840 in words is "thirty-two million, eight hundred twenty thousand, eight hundred forty".