262548 has 96 divisors (see below), whose sum is σ = 846720. Its totient is φ = 69120.

The previous prime is 262543. The next prime is 262553. The reversal of 262548 is 845262.

It is an interprime number because it is at equal distance from previous prime (262543) and next prime (262553).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262541) by changing a digit.

262548 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 (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15436 + ... + 15452.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2²⁶²⁵⁴⁸ 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 262548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

262548 is an abundant number, since it is smaller than the sum of its proper divisors (584172).

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

262548 is a wasteful number, since it uses less digits than its factorization.

262548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

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

The square root of 262548 is about 512.3943793603. The cubic root of 262548 is about 64.0328607290.

It can be divided in two parts, 26254 and 8, that added together give a palindrome (26262).

The spelling of 262548 in words is "two hundred sixty-two thousand, five hundred forty-eight".