268536832 has 44 divisors (see below), whose sum is σ = 540014976. Its totient is φ = 133468160.

The previous prime is 268536817. The next prime is 268536833. The reversal of 268536832 is 238635862.

It is a super-2 number, since 2×268536832² = 144224060281192448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268536833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194898 + ... + 196270.

Almost surely, 2^268536832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270007488).

268536832 is an abundant number, since it is smaller than the sum of its proper divisors (271478144).

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

268536832 is a wasteful number, since it uses less digits than its factorization.

268536832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1566 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 268536832 is about 16387.0934579626. The cubic root of 268536832 is about 645.1607731746.

The spelling of 268536832 in words is "two hundred sixty-eight million, five hundred thirty-six thousand, eight hundred thirty-two".