268982532 has 144 divisors (see below), whose sum is σ = 868113792. Its totient is φ = 70917120.

The previous prime is 268982521. The next prime is 268982533. The reversal of 268982532 is 235289862.

It is a happy number.

268982532 is a `hidden beast` number, since 26 + 8 + 98 + 2 + 532 = 666.

It is a super-2 number, since 2×268982532² = 144703205042262048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268982533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86932 + ... + 89972.

It is an arithmetic number, because the mean of its divisors is an integer number (6028568).

Almost surely, 2^268982532 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 268982532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434056896).

268982532 is an abundant number, since it is smaller than the sum of its proper divisors (599131260).

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

268982532 is a wasteful number, since it uses less digits than its factorization.

268982532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3066 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 268982532 is about 16400.6869368329. The cubic root of 268982532 is about 645.5175078746.

The spelling of 268982532 in words is "two hundred sixty-eight million, nine hundred eighty-two thousand, five hundred thirty-two".