682724641 has 27 divisors (see below), whose sum is σ = 765557611. Its totient is φ = 608701184.

The previous prime is 682724621. The next prime is 682724657. The reversal of 682724641 is 146427286.

It is a happy number.

The square root of 682724641 is 26129.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 37564641 + 645160000 = 6129^2 + 25400^2 .

It is not a de Polignac number, because 682724641 - 2⁷ = 682724513 is a prime.

It is a super-2 number, since 2×682724641² = 932225870857157762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 682724594 and 682724603.

It is not an unprimeable number, because it can be changed into a prime (682724611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12881571 + ... + 12881623.

Almost surely, 2^682724641 is an apocalyptic number.

682724641 is the 26129-th square number.

682724641 is the 13065-th centered octagonal number.

It is an amenable number.

682724641 is a deficient number, since it is larger than the sum of its proper divisors (82832970).

682724641 is an equidigital number, since it uses as much as digits as its factorization.

682724641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The cubic root of 682724641 is about 880.5388577277.

The spelling of 682724641 in words is "six hundred eighty-two million, seven hundred twenty-four thousand, six hundred forty-one".