32852820 has 192 divisors, whose sum is σ = 123734016. Its totient is φ = 6289920.

The previous prime is 32852819. The next prime is 32852821. The reversal of 32852820 is 2825823.

It is an interprime number because it is at equal distance from previous prime (32852819) and next prime (32852821).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32852821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59787 + ... + 60333.

It is an arithmetic number, because the mean of its divisors is an integer number (644448).

Almost surely, 2^32852820 is an apocalyptic number.

32852820 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 32852820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61867008).

32852820 is an abundant number, since it is smaller than the sum of its proper divisors (90881196).

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

32852820 is a wasteful number, since it uses less digits than its factorization.

32852820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 32852820 is about 5731.7379563270. The cubic root of 32852820 is about 320.2758688786.

It can be divided in two parts, 3285 and 2820, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 32852820 in words is "thirty-two million, eight hundred fifty-two thousand, eight hundred twenty".