32742820 has 48 divisors (see below), whose sum is σ = 77446656. Its totient is φ = 11520000.

The previous prime is 32742811. The next prime is 32742841. The reversal of 32742820 is 2824723.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4420 + ... + 9220.

It is an arithmetic number, because the mean of its divisors is an integer number (1613472).

Almost surely, 2^32742820 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 32742820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38723328).

32742820 is an abundant number, since it is smaller than the sum of its proper divisors (44703836).

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

32742820 is a wasteful number, since it uses less digits than its factorization.

32742820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 32742820 is about 5722.1342172305. The cubic root of 32742820 is about 319.9180128500.

The spelling of 32742820 in words is "thirty-two million, seven hundred forty-two thousand, eight hundred twenty".