268004970 has 128 divisors (see below), whose sum is σ = 754790400. Its totient is φ = 67535424.

The previous prime is 268004953. The next prime is 268004977. The reversal of 268004970 is 79400862.

It is not an unprimeable number, because it can be changed into a prime (268004977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 639421 + ... + 639839.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^268004970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268004970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

268004970 is an abundant number, since it is smaller than the sum of its proper divisors (486785430).

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

268004970 is a wasteful number, since it uses less digits than its factorization.

268004970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 268004970 is about 16370.8573385758. The cubic root of 268004970 is about 644.7345581634.

The spelling of 268004970 in words is "two hundred sixty-eight million, four thousand, nine hundred seventy".