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680625 = 3254112
BaseRepresentation
bin10100110001010110001
31021120122100
42212022301
5133240000
622331013
75533221
oct2461261
91246570
10680625
11425400
12289a69
131aaa4a
1413a081
15d6a00
hexa62b1

680625 has 45 divisors (see below), whose sum is σ = 1350349. Its totient is φ = 330000.

The previous prime is 680623. The next prime is 680633. The reversal of 680625 is 526086.

The square root of 680625 is 825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 627264 = 231^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 680625 - 21 = 680623 is a prime.

It is an Ulam number.

680625 is a lucky number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (680623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 61870 + ... + 61880.

2680625 is an apocalyptic number.

680625 is the 825-th square number.

680625 is the 413-rd centered octagonal number.

It is an amenable number.

680625 is a deficient number, since it is larger than the sum of its proper divisors (669724).

680625 is a wasteful number, since it uses less digits than its factorization.

680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 680625 is about 87.9635265516.

The spelling of 680625 in words is "six hundred eighty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 125 165 225 275 363 375 495 605 625 825 1089 1125 1375 1815 1875 2475 3025 4125 5445 5625 6875 9075 12375 15125 20625 27225 45375 61875 75625 136125 226875 680625