268639290 has 96 divisors (see below), whose sum is σ = 741611520. Its totient is φ = 67277952.

The previous prime is 268639249. The next prime is 268639297. The reversal of 268639290 is 92936862.

268639290 is a `hidden beast` number, since 2 + 6 + 8 + 639 + 2 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (268639297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216552 + ... + 217788.

It is an arithmetic number, because the mean of its divisors is an integer number (7725120).

Almost surely, 2^268639290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268639290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370805760).

268639290 is an abundant number, since it is smaller than the sum of its proper divisors (472972230).

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

268639290 is a wasteful number, since it uses less digits than its factorization.

268639290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 268639290 is about 16390.2193395940. The cubic root of 268639290 is about 645.2428146547.

The spelling of 268639290 in words is "two hundred sixty-eight million, six hundred thirty-nine thousand, two hundred ninety".