1578144 has 48 divisors (see below), whose sum is σ = 4390848. Its totient is φ = 494592.

The previous prime is 1578133. The next prime is 1578169. The reversal of 1578144 is 4418751.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

2^1578144 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 1578144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195424).

1578144 is an abundant number, since it is smaller than the sum of its proper divisors (2812704).

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

1578144 is a wasteful number, since it uses less digits than its factorization.

1578144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 989 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 1578144 is about 1256.2420149000. The cubic root of 1578144 is about 116.4257049311.

The spelling of 1578144 in words is "one million, five hundred seventy-eight thousand, one hundred forty-four".