598628 has 12 divisors (see below), whose sum is σ = 1057980. Its totient is φ = 296352.

The previous prime is 598613. The next prime is 598643. The reversal of 598628 is 826895.

It is an interprime number because it is at equal distance from previous prime (598613) and next prime (598643).

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 68644 = 728^2 + 262^2 .

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 598591 and 598600.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 598628.

It is an unprimeable number.

598628 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 251 + ... + 1122.

It is an arithmetic number, because the mean of its divisors is an integer number (88165).

2⁵⁹⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

598628 is a deficient number, since it is larger than the sum of its proper divisors (459352).

598628 is a wasteful number, since it uses less digits than its factorization.

598628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1484 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 598628 is about 773.7105401893. The cubic root of 598628 is about 84.2789291538.

The spelling of 598628 in words is "five hundred ninety-eight thousand, six hundred twenty-eight".