245664 has 36 divisors (see below), whose sum is σ = 699426. Its totient is φ = 81792.

The previous prime is 245653. The next prime is 245671. The reversal of 245664 is 466542.

It is a happy number.

245664 is nontrivially palindromic in base 14.

245664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 3600 = 492^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

245664 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139 + ... + 714.

2²⁴⁵⁶⁶⁴ is an apocalyptic number.

245664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245664 is an abundant number, since it is smaller than the sum of its proper divisors (453762).

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

245664 is a wasteful number, since it uses less digits than its factorization.

245664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 858 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 245664 is about 495.6450342735. The cubic root of 245664 is about 62.6297252222.

It can be divided in two parts, 245 and 664, that added together give a palindrome (909).

The spelling of 245664 in words is "two hundred forty-five thousand, six hundred sixty-four".