268913232 has 180 divisors, whose sum is σ = 908974560. Its totient is φ = 72690048.

The previous prime is 268913221. The next prime is 268913237. The reversal of 268913232 is 232319862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268913237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363519 + ... + 364257.

Almost surely, 2^268913232 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 268913232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454487280).

268913232 is an abundant number, since it is smaller than the sum of its proper divisors (640061328).

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

268913232 is a wasteful number, since it uses less digits than its factorization.

268913232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 770 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 268913232 is about 16398.5740843526. The cubic root of 268913232 is about 645.4620665971.

The spelling of 268913232 in words is "two hundred sixty-eight million, nine hundred thirteen thousand, two hundred thirty-two".