20564480 has 80 divisors (see below), whose sum is σ = 51190920. Its totient is φ = 7913472.

The previous prime is 20564473. The next prime is 20564491. The reversal of 20564480 is 8446502.

It can be written as a sum of positive squares in 4 ways, for example, as 13424896 + 7139584 = 3664^2 + 2672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74102 + ... + 74378.

Almost surely, 2^20564480 is an apocalyptic number.

20564480 is a gapful number since it is divisible by the number (20) 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 20564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25595460).

20564480 is an abundant number, since it is smaller than the sum of its proper divisors (30626440).

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

20564480 is an equidigital number, since it uses as much as digits as its factorization.

20564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 20564480 is about 4534.8076034160. The cubic root of 20564480 is about 273.9718300910.

It can be divided in two parts, 20 and 564480, that multiplied together give a square (11289600 = 3360²).

The spelling of 20564480 in words is "twenty million, five hundred sixty-four thousand, four hundred eighty".