268165200 has 120 divisors (see below), whose sum is σ = 879168928. Its totient is φ = 69834240.

The previous prime is 268165193. The next prime is 268165217. The reversal of 268165200 is 2561862.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49002 + ... + 54198.

Almost surely, 2^268165200 is an apocalyptic number.

268165200 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 268165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439584464).

268165200 is an abundant number, since it is smaller than the sum of its proper divisors (611003728).

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

268165200 is a wasteful number, since it uses less digits than its factorization.

268165200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 268165200 is about 16375.7503644871. The cubic root of 268165200 is about 644.8630200069.

The spelling of 268165200 in words is "two hundred sixty-eight million, one hundred sixty-five thousand, two hundred".