249612 has 48 divisors (see below), whose sum is σ = 666624. Its totient is φ = 72000.

The previous prime is 249607. The next prime is 249647. The reversal of 249612 is 216942.

Its product of digits (864) is a multiple of the sum of its prime divisors (108).

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 15 ways as a sum of consecutive naturals, for example, 4062 + ... + 4122.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2²⁴⁹⁶¹² is an apocalyptic number.

249612 is a gapful number since it is divisible by the number (22) 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 249612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312).

249612 is an abundant number, since it is smaller than the sum of its proper divisors (417012).

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

249612 is a wasteful number, since it uses less digits than its factorization.

249612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 249612 is about 499.6118493391. The cubic root of 249612 is about 62.9634456625.

It can be divided in two parts, 249 and 612, that added together give a triangular number (861 = T₄₁).

The spelling of 249612 in words is "two hundred forty-nine thousand, six hundred twelve".