268665984 has 80 divisors (see below), whose sum is σ = 799576470. Its totient is φ = 89551872.

The previous prime is 268665983. The next prime is 268665997. The reversal of 268665984 is 489566862.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 217857600 + 50808384 = 14760^2 + 7128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 268665984.

It is not an unprimeable number, because it can be changed into a prime (268665983) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2589 + ... + 23324.

Almost surely, 2^268665984 is an apocalyptic number.

268665984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399788235).

268665984 is an abundant number, since it is smaller than the sum of its proper divisors (530910486).

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

268665984 is an equidigital number, since it uses as much as digits as its factorization.

268665984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25939 (or 25918 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 268665984 is about 16391.0336464788. The cubic root of 268665984 is about 645.2641859902.

The spelling of 268665984 in words is "two hundred sixty-eight million, six hundred sixty-five thousand, nine hundred eighty-four".