628680 has 96 divisors (see below), whose sum is σ = 2108160. Its totient is φ = 149760.

The previous prime is 628679. The next prime is 628681. The reversal of 628680 is 86826.

628680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (628679) and next prime (628681).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (628681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20265 + ... + 20295.

It is an arithmetic number, because the mean of its divisors is an integer number (21960).

2⁶²⁸⁶⁸⁰ is an apocalyptic number.

628680 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 628680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054080).

628680 is an abundant number, since it is smaller than the sum of its proper divisors (1479480).

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

628680 is a wasteful number, since it uses less digits than its factorization.

628680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 628680 is about 792.8934354628. The cubic root of 628680 is about 85.6662747000. Note that the first 3 decimals are identical.

The spelling of 628680 in words is "six hundred twenty-eight thousand, six hundred eighty".