1564675840 has 432 divisors, whose sum is σ = 4991202720. Its totient is φ = 464486400.

The previous prime is 1564675829. The next prime is 1564675843. The reversal of 1564675840 is 485764651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564675843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15491790 + ... + 15491890.

It is an arithmetic number, because the mean of its divisors is an integer number (11553710).

Almost surely, 2^1564675840 is an apocalyptic number.

1564675840 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 1564675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495601360).

1564675840 is an abundant number, since it is smaller than the sum of its proper divisors (3426526880).

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

1564675840 is a wasteful number, since it uses less digits than its factorization.

1564675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 1564675840 is about 39555.9836181582. The cubic root of 1564675840 is about 1160.9355908224.

The spelling of 1564675840 in words is "one billion, five hundred sixty-four million, six hundred seventy-five thousand, eight hundred forty".