268627824 has 30 divisors (see below), whose sum is σ = 751785216. Its totient is φ = 89542560.

The previous prime is 268627817. The next prime is 268627831. The reversal of 268627824 is 428726862.

It is an interprime number because it is at equal distance from previous prime (268627817) and next prime (268627831).

It is a self number, because there is not a number n which added to its sum of digits gives 268627824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 932592 + ... + 932879.

Almost surely, 2^268627824 is an apocalyptic number.

268627824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268627824 is an abundant number, since it is smaller than the sum of its proper divisors (483157392).

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

268627824 is a wasteful number, since it uses less digits than its factorization.

268627824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865485 (or 1865476 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 268627824 is about 16389.8695540874. The cubic root of 268627824 is about 645.2336344892.

The spelling of 268627824 in words is "two hundred sixty-eight million, six hundred twenty-seven thousand, eight hundred twenty-four".