1078560 has 144 divisors (see below), whose sum is σ = 4245696. Its totient is φ = 244224.

The previous prime is 1078559. The next prime is 1078589. The reversal of 1078560 is 658701.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10027 + ... + 10133.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2^1078560 is an apocalyptic number.

1078560 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 1078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122848).

1078560 is an abundant number, since it is smaller than the sum of its proper divisors (3167136).

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

1078560 is a wasteful number, since it uses less digits than its factorization.

1078560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1078560 is about 1038.5374331241. The cubic root of 1078560 is about 102.5529371606.

The spelling of 1078560 in words is "one million, seventy-eight thousand, five hundred sixty".