20005744 has 40 divisors (see below), whose sum is σ = 42573168. Its totient is φ = 9031680.

The previous prime is 20005729. The next prime is 20005763. The reversal of 20005744 is 44750002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 34384 + ... + 34960.

Almost surely, 2^20005744 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 20005744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21286584).

20005744 is an abundant number, since it is smaller than the sum of its proper divisors (22567424).

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

20005744 is a wasteful number, since it uses less digits than its factorization.

20005744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 20005744 is about 4472.7781076195. The cubic root of 20005744 is about 271.4677451968.

Adding to 20005744 its reverse (44750002), we get a palindrome (64755746).

It can be divided in two parts, 2000 and 5744, that added together give a square (7744 = 88²).

The spelling of 20005744 in words is "twenty million, five thousand, seven hundred forty-four".