20564160 has 112 divisors (see below), whose sum is σ = 67494912. Its totient is φ = 5299200.

The previous prime is 20564147. The next prime is 20564171. The reversal of 20564160 is 6146502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20564160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29415 + ... + 30105.

Almost surely, 2^20564160 is an apocalyptic number.

20564160 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 20564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747456).

20564160 is an abundant number, since it is smaller than the sum of its proper divisors (46930752).

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

20564160 is a wasteful number, since it uses less digits than its factorization.

20564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20564160 is about 4534.7723206353. The cubic root of 20564160 is about 273.9704090089.

It can be divided in two parts, 2056 and 4160, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 20564160 in words is "twenty million, five hundred sixty-four thousand, one hundred sixty".