249660 has 72 divisors (see below), whose sum is σ = 808080. Its totient is φ = 62208.

The previous prime is 249659. The next prime is 249671. The reversal of 249660 is 66942.

249660 is an undulating number in base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3384 + ... + 3456.

2²⁴⁹⁶⁶⁰ is an apocalyptic number.

249660 is a gapful number since it is divisible by the number (20) 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 249660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404040).

249660 is an abundant number, since it is smaller than the sum of its proper divisors (558420).

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

249660 is a wasteful number, since it uses less digits than its factorization.

249660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 249660 is about 499.6598843213. The cubic root of 249660 is about 62.9674813281.

Adding to 249660 its product of nonzero digits (2592), we get a palindrome (252252).

It can be divided in two parts, 2496 and 60, that added together give a triangular number (2556 = T₇₁).

The spelling of 249660 in words is "two hundred forty-nine thousand, six hundred sixty".