1564608960 has 392 divisors, whose sum is σ = 5896691280. Its totient is φ = 394149888.

The previous prime is 1564608931. The next prime is 1564608977. The reversal of 1564608960 is 698064651.

1564608960 is a `hidden beast` number, since 1 + 56 + 460 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4432144 + ... + 4432496.

Almost surely, 2^1564608960 is an apocalyptic number.

1564608960 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 1564608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948345640).

1564608960 is an abundant number, since it is smaller than the sum of its proper divisors (4332082320).

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

1564608960 is an equidigital number, since it uses as much as digits as its factorization.

1564608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1564608960 is about 39555.1382250145. The cubic root of 1564608960 is about 1160.9190497011.

The spelling of 1564608960 in words is "one billion, five hundred sixty-four million, six hundred eight thousand, nine hundred sixty".