268082420 has 24 divisors (see below), whose sum is σ = 581134848. Its totient is φ = 103773600.

The previous prime is 268082413. The next prime is 268082449. The reversal of 268082420 is 24280862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 215576 + ... + 216815.

It is an arithmetic number, because the mean of its divisors is an integer number (24213952).

Almost surely, 2^268082420 is an apocalyptic number.

268082420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268082420 is an abundant number, since it is smaller than the sum of its proper divisors (313052428).

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

268082420 is a wasteful number, since it uses less digits than its factorization.

268082420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432431 (or 432429 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 268082420 is about 16373.2226516346. Note that the first 3 decimals coincide. The cubic root of 268082420 is about 644.7966588552.

The spelling of 268082420 in words is "two hundred sixty-eight million, eighty-two thousand, four hundred twenty".