1079656560 has 160 divisors (see below), whose sum is σ = 3757884480. Its totient is φ = 284884992.

The previous prime is 1079656549. The next prime is 1079656577. The reversal of 1079656560 is 656569701.

1079656560 is a `hidden beast` number, since 10 + 79 + 6 + 5 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206944 + ... + 212096.

It is an arithmetic number, because the mean of its divisors is an integer number (23486778).

Almost surely, 2^1079656560 is an apocalyptic number.

1079656560 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 1079656560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878942240).

1079656560 is an abundant number, since it is smaller than the sum of its proper divisors (2678227920).

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

1079656560 is a wasteful number, since it uses less digits than its factorization.

1079656560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1079656560 is about 32858.1277616361. The cubic root of 1079656560 is about 1025.8768020058.

The spelling of 1079656560 in words is "one billion, seventy-nine million, six hundred fifty-six thousand, five hundred sixty".