32797820 has 48 divisors (see below), whose sum is σ = 76906368. Its totient is φ = 11645760.

The previous prime is 32797801. The next prime is 32797823. The reversal of 32797820 is 2879723.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32797823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7727 + ... + 11193.

It is an arithmetic number, because the mean of its divisors is an integer number (1602216).

Almost surely, 2^32797820 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 32797820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38453184).

32797820 is an abundant number, since it is smaller than the sum of its proper divisors (44108548).

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

32797820 is a wasteful number, since it uses less digits than its factorization.

32797820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 32797820 is about 5726.9380998925. The cubic root of 32797820 is about 320.0970408816.

The spelling of 32797820 in words is "thirty-two million, seven hundred ninety-seven thousand, eight hundred twenty".