15564416 has 64 divisors (see below), whose sum is σ = 36720000. Its totient is φ = 6429696.

The previous prime is 15564413. The next prime is 15564421. The reversal of 15564416 is 61446551.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (15564413) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25685 + ... + 26283.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 2^15564416 is an apocalyptic number.

15564416 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 15564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360000).

15564416 is an abundant number, since it is smaller than the sum of its proper divisors (21155584).

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

15564416 is an equidigital number, since it uses as much as digits as its factorization.

15564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 637 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 15564416 is about 3945.1762951736. The cubic root of 15564416 is about 249.6764668191.

The spelling of 15564416 in words is "fifteen million, five hundred sixty-four thousand, four hundred sixteen".