268048020 has 48 divisors (see below), whose sum is σ = 755596800. Its totient is φ = 70997376.

The previous prime is 268048013. The next prime is 268048021. The reversal of 268048020 is 20840862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268048021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6052 + ... + 23931.

It is an arithmetic number, because the mean of its divisors is an integer number (15741600).

Almost surely, 2^268048020 is an apocalyptic number.

268048020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268048020 is an abundant number, since it is smaller than the sum of its proper divisors (487548780).

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

268048020 is a wasteful number, since it uses less digits than its factorization.

268048020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30144 (or 30142 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 268048020 is about 16372.1721222323. The cubic root of 268048020 is about 644.7690778426.

Adding to 268048020 its reverse (20840862), we get a palindrome (288888882).

The spelling of 268048020 in words is "two hundred sixty-eight million, forty-eight thousand, twenty".