1564857648 has 120 divisors (see below), whose sum is σ = 4482101520. Its totient is φ = 509483520.

The previous prime is 1564857617. The next prime is 1564857659. The reversal of 1564857648 is 8467584651.

1564857648 is a `hidden beast` number, since 1 + 5 + 64 + 8 + 576 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1564857594 and 1564857603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2892258 + ... + 2892798.

It is an arithmetic number, because the mean of its divisors is an integer number (37350846).

Almost surely, 2^1564857648 is an apocalyptic number.

1564857648 is a gapful number since it is divisible by the number (18) 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 1564857648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241050760).

1564857648 is an abundant number, since it is smaller than the sum of its proper divisors (2917243872).

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

1564857648 is a wasteful number, since it uses less digits than its factorization.

1564857648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 978 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 1564857648 is about 39558.2816613664. The cubic root of 1564857648 is about 1160.9805541727.

The spelling of 1564857648 in words is "one billion, five hundred sixty-four million, eight hundred fifty-seven thousand, six hundred forty-eight".