268795632 has 80 divisors (see below), whose sum is σ = 810519552. Its totient is φ = 75160320.

The previous prime is 268795621. The next prime is 268795669. The reversal of 268795632 is 236597862.

It is a super-3 number, since 3×268795632³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7282 + ... + 24302.

Almost surely, 2^268795632 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 268795632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405259776).

268795632 is an abundant number, since it is smaller than the sum of its proper divisors (541723920).

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

268795632 is a wasteful number, since it uses less digits than its factorization.

268795632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17086 (or 17080 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 268795632 is about 16394.9880146342. The cubic root of 268795632 is about 645.3679626288.

The spelling of 268795632 in words is "two hundred sixty-eight million, seven hundred ninety-five thousand, six hundred thirty-two".