268873600 has 96 divisors (see below), whose sum is σ = 673885440. Its totient is φ = 105984000.

The previous prime is 268873567. The next prime is 268873601. The reversal of 268873600 is 6378862.

It is a happy number.

268873600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268873601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233025 + ... + 234175.

It is an arithmetic number, because the mean of its divisors is an integer number (7019640).

Almost surely, 2^268873600 is an apocalyptic number.

268873600 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 268873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336942720).

268873600 is an abundant number, since it is smaller than the sum of its proper divisors (405011840).

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

268873600 is a wasteful number, since it uses less digits than its factorization.

268873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 268873600 is about 16397.3656420780. The cubic root of 268873600 is about 645.4303559851.

The spelling of 268873600 in words is "two hundred sixty-eight million, eight hundred seventy-three thousand, six hundred".