207264 has 48 divisors (see below), whose sum is σ = 580608. Its totient is φ = 64512.

The previous prime is 207257. The next prime is 207269. The reversal of 207264 is 462702.

It is a happy number.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 207264.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 207264.

It is not an unprimeable number, because it can be changed into a prime (207269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1569 + ... + 1695.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2²⁰⁷²⁶⁴ is an apocalyptic number.

207264 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 207264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

207264 is an abundant number, since it is smaller than the sum of its proper divisors (373344).

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

207264 is a wasteful number, since it uses less digits than its factorization.

207264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 207264 is about 455.2625616059. The cubic root of 207264 is about 59.1799542552.

Adding to 207264 its product of nonzero digits (672), we get a square (207936 = 456²).

Adding to 207264 its reverse (462702), we get a palindrome (669966).

The spelling of 207264 in words is "two hundred seven thousand, two hundred sixty-four".