268563420 has 36 divisors (see below), whose sum is σ = 814642920. Its totient is φ = 71616864.

The previous prime is 268563401. The next prime is 268563431. The reversal of 268563420 is 24365862.

268563420 is a `hidden beast` number, since 268 + 56 + 342 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 745830 + ... + 746189.

It is an arithmetic number, because the mean of its divisors is an integer number (22628970).

Almost surely, 2^268563420 is an apocalyptic number.

268563420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268563420 is an abundant number, since it is smaller than the sum of its proper divisors (546079500).

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

268563420 is a wasteful number, since it uses less digits than its factorization.

268563420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492034 (or 1492029 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 268563420 is about 16387.9046860787. The cubic root of 268563420 is about 645.1820650627.

It can be divided in two parts, 26856 and 3420, that added together give a square (30276 = 174²).

The spelling of 268563420 in words is "two hundred sixty-eight million, five hundred sixty-three thousand, four hundred twenty".