646800 has 180 divisors, whose sum is σ = 2629296. Its totient is φ = 134400.

The previous prime is 646781. The next prime is 646823. The reversal of 646800 is 8646.

646800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

646800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58795 + ... + 58805.

2⁶⁴⁶⁸⁰⁰ is an apocalyptic number.

646800 is a gapful number since it is divisible by the number (60) 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 646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314648).

646800 is an abundant number, since it is smaller than the sum of its proper divisors (1982496).

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

646800 is a wasteful number, since it uses less digits than its factorization.

646800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 646800 is about 804.2387705153. The cubic root of 646800 is about 86.4815245605.

The spelling of 646800 in words is "six hundred forty-six thousand, eight hundred".