1459968 has 36 divisors (see below), whose sum is σ = 3887688. Its totient is φ = 486400.

The previous prime is 1459963. The next prime is 1459993. The reversal of 1459968 is 8699541.

It is a super-2 number, since 2×1459968² = 4263013122048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1459963) 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 3 ways as a sum of consecutive naturals, for example, 183 + ... + 1718.

2^1459968 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 1459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943844).

1459968 is an abundant number, since it is smaller than the sum of its proper divisors (2427720).

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

1459968 is an equidigital number, since it uses as much as digits as its factorization.

1459968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1906 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 1459968 is about 1208.2913555927. The cubic root of 1459968 is about 113.4438905779.

The spelling of 1459968 in words is "one million, four hundred fifty-nine thousand, nine hundred sixty-eight".