249216 has 64 divisors (see below), whose sum is σ = 734400. Its totient is φ = 74240.

The previous prime is 249211. The next prime is 249217. The reversal of 249216 is 612942.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×249216² = 124217229312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 249216.

It is not an unprimeable number, because it can be changed into a prime (249211) by changing a digit.

249216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4195 + ... + 4253.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

249216 is a Friedman number, since it can be written as 192*(6^4+2), using all its digits and the basic arithmetic operations.

2²⁴⁹²¹⁶ 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 249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

249216 is an abundant number, since it is smaller than the sum of its proper divisors (485184).

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

249216 is a wasteful number, since it uses less digits than its factorization.

249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

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

The square root of 249216 is about 499.2153843783. The cubic root of 249216 is about 62.9301316639.

It can be divided in two parts, 249 and 216, that added together give a triangular number (465 = T₃₀).

The spelling of 249216 in words is "two hundred forty-nine thousand, two hundred sixteen".