620800 has 54 divisors (see below), whose sum is σ = 1552418. Its totient is φ = 245760.

The previous prime is 620777. The next prime is 620813. The reversal of 620800 is 8026.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 589824 = 176^2 + 768^2 .

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

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6352 + ... + 6448.

2⁶²⁰⁸⁰⁰ 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 620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776209).

620800 is an abundant number, since it is smaller than the sum of its proper divisors (931618).

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

620800 is an equidigital number, since it uses as much as digits as its factorization.

620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 620800 is about 787.9086241437. The cubic root of 620800 is about 85.3068494202.

Adding to 620800 its reverse (8026), we get a palindrome (628826).

The spelling of 620800 in words is "six hundred twenty thousand, eight hundred".