32985820 has 72 divisors (see below), whose sum is σ = 81644976. Its totient is φ = 11160576.

The previous prime is 32985793. The next prime is 32985839. The reversal of 32985820 is 2858923.

It is a self number, because there is not a number n which added to its sum of digits gives 32985820.

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, 94887 + ... + 95233.

It is an arithmetic number, because the mean of its divisors is an integer number (1133958).

Almost surely, 2^32985820 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 32985820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40822488).

32985820 is an abundant number, since it is smaller than the sum of its proper divisors (48659156).

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

32985820 is a wasteful number, since it uses less digits than its factorization.

32985820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 32985820 is about 5743.3283033447. The cubic root of 32985820 is about 320.7074841582.

The spelling of 32985820 in words is "thirty-two million, nine hundred eighty-five thousand, eight hundred twenty".