268084638 has 24 divisors (see below), whose sum is σ = 581387976. Its totient is φ = 89278800.

The previous prime is 268084637. The next prime is 268084639. The reversal of 268084638 is 836480862.

It is a happy number.

268084638 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 8 + 4 + 638 = 666.

It is an interprime number because it is at equal distance from previous prime (268084637) and next prime (268084639).

It is a junction number, because it is equal to n+sod(n) for n = 268084593 and 268084602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268084631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14953 + ... + 27563.

It is an arithmetic number, because the mean of its divisors is an integer number (24224499).

Almost surely, 2^268084638 is an apocalyptic number.

268084638 is an abundant number, since it is smaller than the sum of its proper divisors (313303338).

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

268084638 is a wasteful number, since it uses less digits than its factorization.

268084638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 13797 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 268084638 is about 16373.2903840370. The cubic root of 268084638 is about 644.7984371082.

The spelling of 268084638 in words is "two hundred sixty-eight million, eighty-four thousand, six hundred thirty-eight".