268970880 has 128 divisors (see below), whose sum is σ = 885196800. Its totient is φ = 69396480.

The previous prime is 268970873. The next prime is 268970881. The reversal of 268970880 is 88079862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268970881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57261 + ... + 61779.

It is an arithmetic number, because the mean of its divisors is an integer number (6915600).

Almost surely, 2^268970880 is an apocalyptic number.

268970880 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 268970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442598400).

268970880 is an abundant number, since it is smaller than the sum of its proper divisors (616225920).

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

268970880 is a wasteful number, since it uses less digits than its factorization.

268970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 268970880 is about 16400.3317039626. The cubic root of 268970880 is about 645.5081867258.

The spelling of 268970880 in words is "two hundred sixty-eight million, nine hundred seventy thousand, eight hundred eighty".