1564420 has 48 divisors (see below), whose sum is σ = 3866688. Its totient is φ = 524160.

The previous prime is 1564417. The next prime is 1564421. The reversal of 1564420 is 244651.

1564420 = 122² + 123² + ... + 186².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1564391 and 1564400.

It is not an unprimeable number, because it can be changed into a prime (1564421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2587 + ... + 3133.

It is an arithmetic number, because the mean of its divisors is an integer number (80556).

2^1564420 is an apocalyptic number.

1564420 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 1564420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933344).

1564420 is an abundant number, since it is smaller than the sum of its proper divisors (2302268).

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

1564420 is a wasteful number, since it uses less digits than its factorization.

1564420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1564420 is about 1250.7677642152. The cubic root of 1564420 is about 116.0872312550.

The spelling of 1564420 in words is "one million, five hundred sixty-four thousand, four hundred twenty".