1078268560 has 40 divisors (see below), whose sum is σ = 2510180856. Its totient is φ = 430755840.

The previous prime is 1078268557. The next prime is 1078268573. The reversal of 1078268560 is 658628701.

It can be written as a sum of positive squares in 4 ways, for example, as 5837056 + 1072431504 = 2416^2 + 32748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 57472 + ... + 73888.

Almost surely, 2^1078268560 is an apocalyptic number.

1078268560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1078268560 is an abundant number, since it is smaller than the sum of its proper divisors (1431912296).

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

1078268560 is a wasteful number, since it uses less digits than its factorization.

1078268560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17251 (or 17245 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 1078268560 is about 32836.9998629595. Note that the first 3 decimals coincide. The cubic root of 1078268560 is about 1025.4369931248.

The spelling of 1078268560 in words is "one billion, seventy-eight million, two hundred sixty-eight thousand, five hundred sixty".