20641824 has 96 divisors (see below), whose sum is σ = 68826240. Its totient is φ = 5895936.

The previous prime is 20641811. The next prime is 20641837. The reversal of 20641824 is 42814602.

It is an interprime number because it is at equal distance from previous prime (20641811) and next prime (20641837).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4342 + ... + 7754.

It is an arithmetic number, because the mean of its divisors is an integer number (716940).

Almost surely, 2^20641824 is an apocalyptic number.

20641824 is a gapful number since it is divisible by the number (24) 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 20641824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34413120).

20641824 is an abundant number, since it is smaller than the sum of its proper divisors (48184416).

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

20641824 is a wasteful number, since it uses less digits than its factorization.

20641824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20641824 is about 4543.3274150120. The cubic root of 20641824 is about 274.3148741320.

The spelling of 20641824 in words is "twenty million, six hundred forty-one thousand, eight hundred twenty-four".