1564005120 has 144 divisors (see below), whose sum is σ = 5070428160. Its totient is φ = 410775552.

The previous prime is 1564005109. The next prime is 1564005181. The reversal of 1564005120 is 215004651.

It is a super-2 number, since 2×1564005120² = 4892224030772428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254241 + ... + 260319.

Almost surely, 2^1564005120 is an apocalyptic number.

1564005120 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 1564005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535214080).

1564005120 is an abundant number, since it is smaller than the sum of its proper divisors (3506423040).

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

1564005120 is an equidigital number, since it uses as much as digits as its factorization.

1564005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1564005120 is about 39547.5045988998. The cubic root of 1564005120 is about 1160.7696833998.

Adding to 1564005120 its reverse (215004651), we get a palindrome (1779009771).

The spelling of 1564005120 in words is "one billion, five hundred sixty-four million, five thousand, one hundred twenty".