622800 has 90 divisors (see below), whose sum is σ = 2173782. Its totient is φ = 165120.

The previous prime is 622793. The next prime is 622813. The reversal of 622800 is 8226.

It can be written as a sum of positive squares in 3 ways, for example, as 138384 + 484416 = 372^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3514 + ... + 3686.

2⁶²²⁸⁰⁰ is an apocalyptic number.

622800 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 622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086891).

622800 is an abundant number, since it is smaller than the sum of its proper divisors (1550982).

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

622800 is a wasteful number, since it uses less digits than its factorization.

622800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 622800 is about 789.1767862780. The cubic root of 622800 is about 85.3983608071.

The spelling of 622800 in words is "six hundred twenty-two thousand, eight hundred".