1568320 has 84 divisors (see below), whose sum is σ = 4183380. Its totient is φ = 559104.

The previous prime is 1568309. The next prime is 1568341. The reversal of 1568320 is 238651.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 295936 + 1272384 = 544^2 + 1128^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54066 + ... + 54094.

2^1568320 is an apocalyptic number.

1568320 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 1568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091690).

1568320 is an abundant number, since it is smaller than the sum of its proper divisors (2615060).

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

1568320 is a wasteful number, since it uses less digits than its factorization.

1568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1568320 is about 1252.3258361944. The cubic root of 1568320 is about 116.1836172436.

The spelling of 1568320 in words is "one million, five hundred sixty-eight thousand, three hundred twenty".