268961280 has 160 divisors (see below), whose sum is σ = 982865664. Its totient is φ = 61464576.

The previous prime is 268961269. The next prime is 268961281. The reversal of 268961280 is 82169862.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268961281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51259 + ... + 56261.

Almost surely, 2^268961280 is an apocalyptic number.

268961280 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 268961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491432832).

268961280 is an abundant number, since it is smaller than the sum of its proper divisors (713904384).

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

268961280 is an equidigital number, since it uses as much as digits as its factorization.

268961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 268961280 is about 16400.0390243438. The cubic root of 268961280 is about 645.5005068952.

The spelling of 268961280 in words is "two hundred sixty-eight million, nine hundred sixty-one thousand, two hundred eighty".