268534770 has 64 divisors (see below), whose sum is σ = 738637056. Its totient is φ = 61205760.

The previous prime is 268534759. The next prime is 268534781. The reversal of 268534770 is 77435862.

It is an interprime number because it is at equal distance from previous prime (268534759) and next prime (268534781).

It is a super-2 number, since 2×268534770² = 144221845397905800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81760 + ... + 84980.

It is an arithmetic number, because the mean of its divisors is an integer number (11541204).

Almost surely, 2^268534770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268534770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369318528).

268534770 is an abundant number, since it is smaller than the sum of its proper divisors (470102286).

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

268534770 is a wasteful number, since it uses less digits than its factorization.

268534770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635.

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 268534770 is about 16387.0305424747. The cubic root of 268534770 is about 645.1591218494.

The spelling of 268534770 in words is "two hundred sixty-eight million, five hundred thirty-four thousand, seven hundred seventy".