268630650 has 72 divisors (see below), whose sum is σ = 725008284. Its totient is φ = 71308800.

The previous prime is 268630643. The next prime is 268630667. The reversal of 268630650 is 56036862.

268630650 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 131951169 + 136679481 = 11487^2 + 11691^2 .

It is a super-2 number, since 2×268630650² = 144324852238845000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107212 + ... + 109688.

Almost surely, 2^268630650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268630650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362504142).

268630650 is an abundant number, since it is smaller than the sum of its proper divisors (456377634).

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

268630650 is a wasteful number, since it uses less digits than its factorization.

268630650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 268630650 is about 16389.9557656511. The cubic root of 268630650 is about 645.2358971288.

The spelling of 268630650 in words is "two hundred sixty-eight million, six hundred thirty thousand, six hundred fifty".