249680 has 20 divisors (see below), whose sum is σ = 580692. Its totient is φ = 99840.

The previous prime is 249677. The next prime is 249703. The reversal of 249680 is 86942.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 222784 = 164^2 + 472^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1481 + ... + 1640.

2²⁴⁹⁶⁸⁰ is an apocalyptic number.

249680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249680 is an abundant number, since it is smaller than the sum of its proper divisors (331012).

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

249680 is a wasteful number, since it uses less digits than its factorization.

249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 249680 is about 499.6798975344. The cubic root of 249680 is about 62.9691627028.

It can be divided in two parts, 249 and 680, that added together give a palindrome (929).

The spelling of 249680 in words is "two hundred forty-nine thousand, six hundred eighty".