1079935560 has 384 divisors, whose sum is σ = 4075868160. Its totient is φ = 245414400.

The previous prime is 1079935529. The next prime is 1079935589. The reversal of 1079935560 is 655399701.

1079935560 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 93 + 556 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6466597 + ... + 6466763.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 2^1079935560 is an apocalyptic number.

1079935560 is a gapful number since it is divisible by the number (10) 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 1079935560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037934080).

1079935560 is an abundant number, since it is smaller than the sum of its proper divisors (2995932600).

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

1079935560 is a wasteful number, since it uses less digits than its factorization.

1079935560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 1079935560 is about 32862.3730123069. The cubic root of 1079935560 is about 1025.9651618872.

It can be divided in two parts, 1079 and 935560, that added together give a palindrome (936639).

The spelling of 1079935560 in words is "one billion, seventy-nine million, nine hundred thirty-five thousand, five hundred sixty".