268842064 has 40 divisors (see below), whose sum is σ = 546293160. Its totient is φ = 127991808.

The previous prime is 268842053. The next prime is 268842083. The reversal of 268842064 is 460248862.

It can be written as a sum of positive squares in 4 ways, for example, as 134745664 + 134096400 = 11608^2 + 11580^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29904 + ... + 37840.

It is an arithmetic number, because the mean of its divisors is an integer number (13657329).

Almost surely, 2^268842064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268842064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273146580).

268842064 is an abundant number, since it is smaller than the sum of its proper divisors (277451096).

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

268842064 is a wasteful number, since it uses less digits than its factorization.

268842064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8047 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 268842064 is about 16396.4039959986. The cubic root of 268842064 is about 645.4051209707.

The spelling of 268842064 in words is "two hundred sixty-eight million, eight hundred forty-two thousand, sixty-four".