264648 has 16 divisors (see below), whose sum is σ = 661680. Its totient is φ = 88208.

The previous prime is 264643. The next prime is 264659. The reversal of 264648 is 846462.

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 2¹¹ + 6³ + 6³ + 4² + 4⁹ + 8 .

264648 is a modest number, since divided by 648 gives 264 as remainder.

It is not an unprimeable number, because it can be changed into a prime (264643) by changing a digit.

264648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5490 + ... + 5537.

It is an arithmetic number, because the mean of its divisors is an integer number (41355).

264648 is a Friedman number, since it can be written as 4*(626+4^8), using all its digits and the basic arithmetic operations.

2²⁶⁴⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

264648 is an abundant number, since it is smaller than the sum of its proper divisors (397032).

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

264648 is a wasteful number, since it uses less digits than its factorization.

264648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11032 counting only the distinct ones).

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

The square root of 264648 is about 514.4395008162. The cubic root of 264648 is about 64.2031306399.

The spelling of 264648 in words is "two hundred sixty-four thousand, six hundred forty-eight".