1608481578 has 128 divisors (see below), whose sum is σ = 3773952000. Its totient is φ = 452390400.

The previous prime is 1608481547. The next prime is 1608481601. The reversal of 1608481578 is 8751848061.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8082723 + ... + 8082921.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^1608481578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1608481578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000).

1608481578 is an abundant number, since it is smaller than the sum of its proper divisors (2165470422).

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

1608481578 is a wasteful number, since it uses less digits than its factorization.

1608481578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388.

The product of its (nonzero) digits is 430080, while the sum is 48.

The square root of 1608481578 is about 40105.8795938950. The cubic root of 1608481578 is about 1171.6701445462.

The spelling of 1608481578 in words is "one billion, six hundred eight million, four hundred eighty-one thousand, five hundred seventy-eight".