268369200 has 360 divisors, whose sum is σ = 1057807296. Its totient is φ = 64800000.

The previous prime is 268369187. The next prime is 268369253. The reversal of 268369200 is 2963862.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1069075 + ... + 1069325.

Almost surely, 2^268369200 is an apocalyptic number.

268369200 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 268369200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528903648).

268369200 is an abundant number, since it is smaller than the sum of its proper divisors (789438096).

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

268369200 is a wasteful number, since it uses less digits than its factorization.

268369200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

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

The square root of 268369200 is about 16381.9779025611. The cubic root of 268369200 is about 645.0264997225.

The spelling of 268369200 in words is "two hundred sixty-eight million, three hundred sixty-nine thousand, two hundred".