268046880 has 48 divisors (see below), whose sum is σ = 844349184. Its totient is φ = 71479040.

The previous prime is 268046879. The next prime is 268046881. The reversal of 268046880 is 88640862.

It is an interprime number because it is at equal distance from previous prime (268046879) and next prime (268046881).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (268046881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278736 + ... + 279695.

It is an arithmetic number, because the mean of its divisors is an integer number (17590608).

Almost surely, 2^268046880 is an apocalyptic number.

268046880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268046880 is an abundant number, since it is smaller than the sum of its proper divisors (576302304).

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

268046880 is a wasteful number, since it uses less digits than its factorization.

268046880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558449 (or 558441 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 268046880 is about 16372.1373070226. The cubic root of 268046880 is about 644.7681637802.

The spelling of 268046880 in words is "two hundred sixty-eight million, forty-six thousand, eight hundred eighty".