249642 has 40 divisors (see below), whose sum is σ = 592416. Its totient is φ = 78408.

The previous prime is 249607. The next prime is 249647. The reversal of 249642 is 246942.

It is a super-2 number, since 2×249642² = 124642256328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

249642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3693 + ... + 3759.

2²⁴⁹⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296208).

249642 is an abundant number, since it is smaller than the sum of its proper divisors (342774).

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

249642 is a wasteful number, since it uses less digits than its factorization.

249642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 249642 is about 499.6418717442. The cubic root of 249642 is about 62.9659680141.

The spelling of 249642 in words is "two hundred forty-nine thousand, six hundred forty-two".