265248 has 48 divisors (see below), whose sum is σ = 776160. Its totient is φ = 88128.

The previous prime is 265247. The next prime is 265249. The reversal of 265248 is 842562.

265248 is a `hidden beast` number, since 2 + 652 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (265247) and next prime (265249).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 265248.

It is not an unprimeable number, because it can be changed into a prime (265241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (16170).

2²⁶⁵²⁴⁸ 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 265248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388080).

265248 is an abundant number, since it is smaller than the sum of its proper divisors (510912).

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

265248 is a wasteful number, since it uses less digits than its factorization.

265248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 265248 is about 515.0223296130. The cubic root of 265248 is about 64.2516136604.

The spelling of 265248 in words is "two hundred sixty-five thousand, two hundred forty-eight".