249648 has 40 divisors (see below), whose sum is σ = 738048. Its totient is φ = 71232.

The previous prime is 249647. The next prime is 249659. The reversal of 249648 is 846942.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249648.

It is not an unprimeable number, because it can be changed into a prime (249647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 707.

2²⁴⁹⁶⁴⁸ is an apocalyptic number.

249648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369024).

249648 is an abundant number, since it is smaller than the sum of its proper divisors (488400).

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

249648 is a wasteful number, since it uses less digits than its factorization.

249648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 249648 is about 499.6478760087. The cubic root of 249648 is about 62.9664724602.

The spelling of 249648 in words is "two hundred forty-nine thousand, six hundred forty-eight".