4268624 has 20 divisors (see below), whose sum is σ = 8303040. Its totient is φ = 2125920.

The previous prime is 4268623. The next prime is 4268647.

It is a happy number.

4268624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4268624³ (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4⁸ + 2⁹ + 6² + 8 + 6² + 2¹³ + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6587 + ... + 7205.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 2^4268624 is an apocalyptic number.

It is an amenable number.

4268624 is a deficient number, since it is larger than the sum of its proper divisors (4034416).

4268624 is a wasteful number, since it uses less digits than its factorization.

4268624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 4268624 is about 2066.0648586141. The cubic root of 4268624 is about 162.2168512918.

The spelling of 4268624 in words is "four million, two hundred sixty-eight thousand, six hundred twenty-four".