32064000 has 160 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 8499200.

The previous prime is 32063987. The next prime is 32064007. The reversal of 32064000 is 46023.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (32064007) 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, 191917 + ... + 192083.

Almost surely, 2^32064000 is an apocalyptic number.

32064000 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 32064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

32064000 is an abundant number, since it is smaller than the sum of its proper divisors (75179136).

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

32064000 is an equidigital number, since it uses as much as digits as its factorization.

32064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 32064000 is about 5662.5082781396. The cubic root of 32064000 is about 317.6917229215.

The spelling of 32064000 in words is "thirty-two million, sixty-four thousand", and thus it is an eban number.