32056000 has 56 divisors (see below), whose sum is σ = 79406496. Its totient is φ = 12819200.

The previous prime is 32055977. The next prime is 32056001. The reversal of 32056000 is 65023.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (32056001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5997 + ... + 10003.

Almost surely, 2^32056000 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 32056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39703248).

32056000 is an abundant number, since it is smaller than the sum of its proper divisors (47350496).

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

32056000 is an equidigital number, since it uses as much as digits as its factorization.

32056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 32056000 is about 5661.8018333389. The cubic root of 32056000 is about 317.6652992565.

The spelling of 32056000 in words is "thirty-two million, fifty-six thousand", and thus it is an eban number.