646528000 has 88 divisors (see below), whose sum is σ = 1613265264. Its totient is φ = 258560000.

The previous prime is 646527983. The next prime is 646528009. The reversal of 646528000 is 825646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646528009) 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, 125475 + ... + 130525.

Almost surely, 2^646528000 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 646528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806632632).

646528000 is an abundant number, since it is smaller than the sum of its proper divisors (966737264).

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

646528000 is an equidigital number, since it uses as much as digits as its factorization.

646528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 646528000 is about 25426.9148738104. The cubic root of 646528000 is about 864.6940011561.

The spelling of 646528000 in words is "six hundred forty-six million, five hundred twenty-eight thousand".