268691520 has 224 divisors, whose sum is σ = 914107392. Its totient is φ = 66705408.

The previous prime is 268691509. The next prime is 268691537. The reversal of 268691520 is 25196862.

268691520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949299 + ... + 949581.

Almost surely, 2^268691520 is an apocalyptic number.

268691520 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 268691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457053696).

268691520 is an abundant number, since it is smaller than the sum of its proper divisors (645415872).

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

268691520 is a wasteful number, since it uses less digits than its factorization.

268691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

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

The square root of 268691520 is about 16391.8125904367. The cubic root of 268691520 is about 645.2846289010.

The spelling of 268691520 in words is "two hundred sixty-eight million, six hundred ninety-one thousand, five hundred twenty".