20247584 has 72 divisors (see below), whose sum is σ = 47760300. Its totient is φ = 8418816.

The previous prime is 20247541. The next prime is 20247593. The reversal of 20247584 is 48574202.

It can be written as a sum of positive squares in 2 ways, for example, as 17875984 + 2371600 = 4228^2 + 1540^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20247584.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57842 + ... + 58190.

Almost surely, 2^20247584 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 20247584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23880150).

20247584 is an abundant number, since it is smaller than the sum of its proper divisors (27512716).

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

20247584 is a wasteful number, since it uses less digits than its factorization.

20247584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 20247584 is about 4499.7315475481. The cubic root of 20247584 is about 272.5572485842.

The spelling of 20247584 in words is "twenty million, two hundred forty-seven thousand, five hundred eighty-four".