1578 has 8 divisors (see below), whose sum is σ = 3168. Its totient is φ = 524.

The previous prime is 1571. The next prime is 1579. The reversal of 1578 is 8751.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

1578 is an admirable number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1571) by changing a digit.

1578 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126 + ... + 137.

It is an arithmetic number, because the mean of its divisors is an integer number (396).

2¹⁵⁷⁸ is an apocalyptic number.

1578 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584).

1578 is a wasteful number, since it uses less digits than its factorization.

1578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its digits is 280, while the sum is 21.

The square root of 1578 is about 39.7240481321. The cubic root of 1578 is about 11.6422163680.

The spelling of 1578 in words is "one thousand, five hundred seventy-eight".