1079116560 has 80 divisors (see below), whose sum is σ = 3716964480. Its totient is φ = 287763840.

The previous prime is 1079116559. The next prime is 1079116567. The reversal of 1079116560 is 656119701.

It is a happy number.

1079116560 is a `hidden beast` number, since 1 + 0 + 7 + 91 + 1 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1079116567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247636 + ... + 251955.

It is an arithmetic number, because the mean of its divisors is an integer number (46462056).

Almost surely, 2^1079116560 is an apocalyptic number.

1079116560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1079116560 is an abundant number, since it is smaller than the sum of its proper divisors (2637847920).

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

1079116560 is a wasteful number, since it uses less digits than its factorization.

1079116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499613 (or 499601 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1079116560 is about 32849.9095889167. The cubic root of 1079116560 is about 1025.7057396274.

It can be divided in two parts, 10791165 and 60, that added together give a square (10791225 = 3285²).

The spelling of 1079116560 in words is "one billion, seventy-nine million, one hundred sixteen thousand, five hundred sixty".