1079568 has 150 divisors (see below), whose sum is σ = 3848526. Its totient is φ = 290304.

The previous prime is 1079539. The next prime is 1079569. The reversal of 1079568 is 8659701.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 63504 = 1008^2 + 252^2 .

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 (1079569) 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 29 ways as a sum of consecutive naturals, for example, 63496 + ... + 63512.

2^1079568 is an apocalyptic number.

1079568 is a gapful number since it is divisible by the number (18) 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 1079568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924263).

1079568 is an abundant number, since it is smaller than the sum of its proper divisors (2768958).

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

1079568 is a wasteful number, since it uses less digits than its factorization.

1079568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1079568 is about 1039.0226176557. The cubic root of 1079568 is about 102.5848751686.

The spelling of 1079568 in words is "one million, seventy-nine thousand, five hundred sixty-eight".