1559968 has 36 divisors (see below), whose sum is σ = 3256470. Its totient is φ = 734720.

The previous prime is 1559963. The next prime is 1559969. The reversal of 1559968 is 8699551.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 535824 + 1024144 = 732^2 + 1012^2 .

It is a super-2 number, since 2×1559968² = 4867000322048, which contains 22 as substring.

Its product of digits (97200) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1559963) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 38028 + ... + 38068.

2^1559968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1559968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628235).

1559968 is an abundant number, since it is smaller than the sum of its proper divisors (1696502).

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

1559968 is an equidigital number, since it uses as much as digits as its factorization.

1559968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 72 counting only the distinct ones).

The product of its digits is 97200, while the sum is 43.

The square root of 1559968 is about 1248.9867893617. The cubic root of 1559968 is about 115.9770069370.

The spelling of 1559968 in words is "one million, five hundred fifty-nine thousand, nine hundred sixty-eight".