1578768 has 40 divisors (see below), whose sum is σ = 4214016. Its totient is φ = 508800.

The previous prime is 1578749. The next prime is 1578769. The reversal of 1578768 is 8678751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1578769) 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 7 ways as a sum of consecutive naturals, for example, 958 + ... + 2018.

2^1578768 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 1578768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107008).

1578768 is an abundant number, since it is smaller than the sum of its proper divisors (2635248).

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

1578768 is a wasteful number, since it uses less digits than its factorization.

1578768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The square root of 1578768 is about 1256.4903501420. The cubic root of 1578768 is about 116.4410478628.

It can be divided in two parts, 1578 and 768, that added together give a triangular number (2346 = T₆₈).

The spelling of 1578768 in words is "one million, five hundred seventy-eight thousand, seven hundred sixty-eight".