32982840 has 96 divisors (see below), whose sum is σ = 116953200. Its totient is φ = 7994880.

The previous prime is 32982823. The next prime is 32982869. The reversal of 32982840 is 4828923.

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

It is a junction number, because it is equal to n+sod(n) for n = 32982795 and 32982804.

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, 205 + ... + 8124.

Almost surely, 2^32982840 is an apocalyptic number.

32982840 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 32982840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58476600).

32982840 is an abundant number, since it is smaller than the sum of its proper divisors (83970360).

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

32982840 is a wasteful number, since it uses less digits than its factorization.

32982840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357 (or 8350 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 32982840 is about 5743.0688660332. The cubic root of 32982840 is about 320.6978260982.

The spelling of 32982840 in words is "thirty-two million, nine hundred eighty-two thousand, eight hundred forty".