248664 has 32 divisors (see below), whose sum is σ = 670320. Its totient is φ = 76416.

The previous prime is 248657. The next prime is 248683. The reversal of 248664 is 466842.

248664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁷ + 4⁶ + 6⁴ + 8 + 6⁶ + 4⁸ .

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

248664 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, 87 + ... + 710.

2²⁴⁸⁶⁶⁴ is an apocalyptic number.

248664 is a gapful number since it is divisible by the number (24) 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 248664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335160).

248664 is an abundant number, since it is smaller than the sum of its proper divisors (421656).

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

248664 is a wasteful number, since it uses less digits than its factorization.

248664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 815 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 248664 is about 498.6622103188. The cubic root of 248664 is about 62.8836350351.

It can be divided in two parts, 24 and 8664, that multiplied together give a square (207936 = 456²).

The spelling of 248664 in words is "two hundred forty-eight thousand, six hundred sixty-four".