268693200 has 150 divisors (see below), whose sum is σ = 964434614. Its totient is φ = 71642880.

The previous prime is 268693189. The next prime is 268693237. The reversal of 268693200 is 2396862.

It can be written as a sum of positive squares in 3 ways, for example, as 2742336 + 265950864 = 1656^2 + 16308^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28254 + ... + 36546.

Almost surely, 2^268693200 is an apocalyptic number.

268693200 is a gapful number since it is divisible by the number (20) 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 268693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482217307).

268693200 is an abundant number, since it is smaller than the sum of its proper divisors (695741414).

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

268693200 is a wasteful number, since it uses less digits than its factorization.

268693200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8303 counting only the distinct ones).

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

The square root of 268693200 is about 16391.8638354520. The cubic root of 268693200 is about 645.2859737839.

The spelling of 268693200 in words is "two hundred sixty-eight million, six hundred ninety-three thousand, two hundred".