268530120 has 64 divisors (see below), whose sum is σ = 895104000. Its totient is φ = 71607744.

The previous prime is 268530107. The next prime is 268530121. The reversal of 268530120 is 21035862.

268530120 is a `hidden beast` number, since 2 + 6 + 8 + 530 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (268530121) 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, 123240 + ... + 125399.

It is an arithmetic number, because the mean of its divisors is an integer number (13986000).

Almost surely, 2^268530120 is an apocalyptic number.

268530120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268530120 is an abundant number, since it is smaller than the sum of its proper divisors (626573880).

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

268530120 is a wasteful number, since it uses less digits than its factorization.

268530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248659 (or 248649 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 268530120 is about 16386.8886613658. Note that the first 3 decimals coincide. The cubic root of 268530120 is about 645.1553979279.

Adding to 268530120 its reverse (21035862), we get a palindrome (289565982).

The spelling of 268530120 in words is "two hundred sixty-eight million, five hundred thirty thousand, one hundred twenty".