268553520 has 120 divisors (see below), whose sum is σ = 941162976. Its totient is φ = 68496384.

The previous prime is 268553507. The next prime is 268553561. The reversal of 268553520 is 25355862.

It is a happy number.

268553520 is a `hidden beast` number, since 2 + 6 + 85 + 53 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8452 + ... + 24668.

Almost surely, 2^268553520 is an apocalyptic number.

268553520 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 268553520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470581488).

268553520 is an abundant number, since it is smaller than the sum of its proper divisors (672609456).

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

268553520 is a wasteful number, since it uses less digits than its factorization.

268553520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16259 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 268553520 is about 16387.6026312576. The cubic root of 268553520 is about 645.1741372259.

The spelling of 268553520 in words is "two hundred sixty-eight million, five hundred fifty-three thousand, five hundred twenty".