268577900 has 72 divisors (see below), whose sum is σ = 644021280. Its totient is φ = 96701440.

The previous prime is 268577899. The next prime is 268577927. The reversal of 268577900 is 9775862.

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, 35666 + ... + 42534.

It is an arithmetic number, because the mean of its divisors is an integer number (8944740).

Almost surely, 2^268577900 is an apocalyptic number.

268577900 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 268577900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322010640).

268577900 is an abundant number, since it is smaller than the sum of its proper divisors (375443380).

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

268577900 is a wasteful number, since it uses less digits than its factorization.

268577900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 268577900 is about 16388.3464693666. The cubic root of 268577900 is about 645.1936601743.

The spelling of 268577900 in words is "two hundred sixty-eight million, five hundred seventy-seven thousand, nine hundred".