249876 has 36 divisors (see below), whose sum is σ = 690144. Its totient is φ = 75600.

The previous prime is 249871. The next prime is 249881. The reversal of 249876 is 678942.

It is an interprime number because it is at equal distance from previous prime (249871) and next prime (249881).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 249876.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249876.

It is not an unprimeable number, because it can be changed into a prime (249871) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 81 + ... + 711.

2²⁴⁹⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345072).

249876 is an abundant number, since it is smaller than the sum of its proper divisors (440268).

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

249876 is a wasteful number, since it uses less digits than its factorization.

249876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 647 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 249876 is about 499.8759846202. The cubic root of 249876 is about 62.9856354249.

The spelling of 249876 in words is "two hundred forty-nine thousand, eight hundred seventy-six".