268235520 has 288 divisors, whose sum is σ = 1038417408. Its totient is φ = 57606144.

The previous prime is 268235509. The next prime is 268235531. The reversal of 268235520 is 25532862.

It is an interprime number because it is at equal distance from previous prime (268235509) and next prime (268235531).

It is a zygodrome in base 2.

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, 456667 + ... + 457253.

It is an arithmetic number, because the mean of its divisors is an integer number (3605616).

Almost surely, 2^268235520 is an apocalyptic number.

268235520 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 268235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519208704).

268235520 is an abundant number, since it is smaller than the sum of its proper divisors (770181888).

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

268235520 is a wasteful number, since it uses less digits than its factorization.

268235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 268235520 is about 16377.8973009358. The cubic root of 268235520 is about 644.9193817875.

The spelling of 268235520 in words is "two hundred sixty-eight million, two hundred thirty-five thousand, five hundred twenty".