1578720160 has 48 divisors (see below), whose sum is σ = 3744336456. Its totient is φ = 629014528.

The previous prime is 1578720097. The next prime is 1578720163. The reversal of 1578720160 is 610278751.

It can be written as a sum of positive squares in 4 ways, for example, as 1497070864 + 81649296 = 38692^2 + 9036^2 .

It is not an unprimeable number, because it can be changed into a prime (1578720163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21924 + ... + 60316.

Almost surely, 2^1578720160 is an apocalyptic number.

1578720160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1578720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872168228).

1578720160 is an abundant number, since it is smaller than the sum of its proper divisors (2165616296).

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

1578720160 is a wasteful number, since it uses less digits than its factorization.

1578720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38665 (or 38657 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 1578720160 is about 39733.1116324911. Note that the first 3 decimals coincide. The cubic root of 1578720160 is about 1164.3987171450.

The spelling of 1578720160 in words is "one billion, five hundred seventy-eight million, seven hundred twenty thousand, one hundred sixty".