20563632 has 140 divisors (see below), whose sum is σ = 62615784. Its totient is φ = 6531840.

The previous prime is 20563607. The next prime is 20563637. The reversal of 20563632 is 23636502.

20563632 is a `hidden beast` number, since 20 + 5 + 6 + 3 + 632 = 666.

It is a super-2 number, since 2×20563632² = 845725922062848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20563596 and 20563605.

It is not an unprimeable number, because it can be changed into a prime (20563637) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 478203 + ... + 478245.

Almost surely, 2^20563632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20563632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31307892).

20563632 is an abundant number, since it is smaller than the sum of its proper divisors (42052152).

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

20563632 is an equidigital number, since it uses as much as digits as its factorization.

20563632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 20563632 is about 4534.7141034469. The cubic root of 20563632 is about 273.9680641913.

The spelling of 20563632 in words is "twenty million, five hundred sixty-three thousand, six hundred thirty-two".