268824003 has 64 divisors (see below), whose sum is σ = 440681472. Its totient is φ = 142571520.

The previous prime is 268823999. The next prime is 268824007. The reversal of 268824003 is 300428862.

It is an interprime number because it is at equal distance from previous prime (268823999) and next prime (268824007).

It is not a de Polignac number, because 268824003 - 2² = 268823999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268824007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962151 + ... + 1962287.

It is an arithmetic number, because the mean of its divisors is an integer number (6885648).

Almost surely, 2^268824003 is an apocalyptic number.

268824003 is a deficient number, since it is larger than the sum of its proper divisors (171857469).

268824003 is a wasteful number, since it uses less digits than its factorization.

268824003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 268824003 is about 16395.8532257397. The cubic root of 268824003 is about 645.3906677229.

The spelling of 268824003 in words is "two hundred sixty-eight million, eight hundred twenty-four thousand, three".