1564416 has 108 divisors (see below), whose sum is σ = 5208112. Its totient is φ = 442368.

The previous prime is 1564411. The next prime is 1564417. The reversal of 1564416 is 6144651.

1564416 is a `hidden beast` number, since 1 + 5 + 644 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1564416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16080 + ... + 16176.

2^1564416 is an apocalyptic number.

1564416 is a gapful number since it is divisible by the number (16) 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 1564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604056).

1564416 is an abundant number, since it is smaller than the sum of its proper divisors (3643696).

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

1564416 is an equidigital number, since it uses as much as digits as its factorization.

1564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1564416 is about 1250.7661651964. The cubic root of 1564416 is about 116.0871323154.

The spelling of 1564416 in words is "one million, five hundred sixty-four thousand, four hundred sixteen".