268916520 has 64 divisors (see below), whose sum is σ = 814619520. Its totient is φ = 71011584.

The previous prime is 268916509. The next prime is 268916521. The reversal of 268916520 is 25619862.

It is not an unprimeable number, because it can be changed into a prime (268916521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482 + ... + 23238.

It is an arithmetic number, because the mean of its divisors is an integer number (12728430).

Almost surely, 2^268916520 is an apocalyptic number.

268916520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268916520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407309760).

268916520 is an abundant number, since it is smaller than the sum of its proper divisors (545703000).

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

268916520 is a wasteful number, since it uses less digits than its factorization.

268916520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21874 (or 21870 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 268916520 is about 16398.6743366651. The cubic root of 268916520 is about 645.4646972729.

It can be divided in two parts, 26891 and 6520, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 268916520 in words is "two hundred sixty-eight million, nine hundred sixteen thousand, five hundred twenty".