810628 has 48 divisors (see below), whose sum is σ = 1862784. Its totient is φ = 299520.

The previous prime is 810587. The next prime is 810643. The reversal of 810628 is 826018.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6123 + ... + 6253.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁸¹⁰⁶²⁸ 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 810628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392).

810628 is an abundant number, since it is smaller than the sum of its proper divisors (1052156).

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

810628 is a wasteful number, since it uses less digits than its factorization.

810628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 810628 is about 900.3488212909. The cubic root of 810628 is about 93.2410595975.

The spelling of 810628 in words is "eight hundred ten thousand, six hundred twenty-eight".