32982240 has 48 divisors (see below), whose sum is σ = 103895568. Its totient is φ = 8795136.

The previous prime is 32982223. The next prime is 32982241. The reversal of 32982240 is 4228923.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32982198 and 32982207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32982241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33877 + ... + 34836.

It is an arithmetic number, because the mean of its divisors is an integer number (2164491).

Almost surely, 2^32982240 is an apocalyptic number.

32982240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32982240 is an abundant number, since it is smaller than the sum of its proper divisors (70913328).

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

32982240 is a wasteful number, since it uses less digits than its factorization.

32982240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68731 (or 68723 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 32982240 is about 5743.0166289155. The cubic root of 32982240 is about 320.6958814520.

The spelling of 32982240 in words is "thirty-two million, nine hundred eighty-two thousand, two hundred forty".