32085000 has 240 divisors, whose sum is σ = 116962560. Its totient is φ = 7920000.

The previous prime is 32084993. The next prime is 32085019. The reversal of 32085000 is 58023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1034985 + ... + 1035015.

It is an arithmetic number, because the mean of its divisors is an integer number (487344).

Almost surely, 2^32085000 is an apocalyptic number.

32085000 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 32085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58481280).

32085000 is an abundant number, since it is smaller than the sum of its proper divisors (84877560).

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

32085000 is a wasteful number, since it uses less digits than its factorization.

32085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 32085000 is about 5664.3622765498. The cubic root of 32085000 is about 317.7610641373.

The spelling of 32085000 in words is "thirty-two million, eighty-five thousand".