1564864 has 42 divisors (see below), whose sum is σ = 3619500. Its totient is φ = 669312.

The previous prime is 1564861. The next prime is 1564877. The reversal of 1564864 is 4684651.

It is not an unprimeable number, because it can be changed into a prime (1564861) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2887 + ... + 3385.

2^1564864 is an apocalyptic number.

1564864 is a gapful number since it is divisible by the number (14) 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 1564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809750).

1564864 is an abundant number, since it is smaller than the sum of its proper divisors (2054636).

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

1564864 is an equidigital number, since it uses as much as digits as its factorization.

1564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 508 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 1564864 is about 1250.9452426066. The cubic root of 1564864 is about 116.0982125037.

The spelling of 1564864 in words is "one million, five hundred sixty-four thousand, eight hundred sixty-four".