268436970 has 128 divisors (see below), whose sum is σ = 764225280. Its totient is φ = 66816000.

The previous prime is 268436957. The next prime is 268436981. The reversal of 268436970 is 79634862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1069345 + ... + 1069595.

It is an arithmetic number, because the mean of its divisors is an integer number (5970510).

Almost surely, 2^268436970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268436970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382112640).

268436970 is an abundant number, since it is smaller than the sum of its proper divisors (495788310).

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

268436970 is a wasteful number, since it uses less digits than its factorization.

268436970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 268436970 is about 16384.0462035481. The cubic root of 268436970 is about 645.0807903127.

The spelling of 268436970 in words is "two hundred sixty-eight million, four hundred thirty-six thousand, nine hundred seventy".