4627264 has 28 divisors (see below), whose sum is σ = 9724644. Its totient is φ = 2177024.

The previous prime is 4627253. The next prime is 4627289.

4627264 is nontrivially palindromic in base 10.

4627264 is digitally balanced in base 5, 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 2 ways, for example, as 1937664 + 2689600 = 1392^2 + 1640^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1039 + ... + 3214.

Almost surely, 2^4627264 is an apocalyptic number.

It is an amenable number.

4627264 is an abundant number, since it is smaller than the sum of its proper divisors (5097380).

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

4627264 is a wasteful number, since it uses less digits than its factorization.

4627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4272 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 4627264 is about 2151.1076216684. The cubic root of 4627264 is about 166.6382742746.

It can be divided in two parts, 4 and 627264, that multiplied together give a square (2509056 = 1584²).

The spelling of 4627264 in words is "four million, six hundred twenty-seven thousand, two hundred sixty-four".