20961024 has 108 divisors (see below), whose sum is σ = 65011464. Its totient is φ = 5978112.

The previous prime is 20961019. The next prime is 20961029. The reversal of 20961024 is 42016902.

It is an interprime number because it is at equal distance from previous prime (20961019) and next prime (20961029).

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

It is a junction number, because it is equal to n+sod(n) for n = 20960985 and 20961003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20961029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37354 + ... + 37910.

It is an arithmetic number, because the mean of its divisors is an integer number (601958).

Almost surely, 2^20961024 is an apocalyptic number.

20961024 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 20961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32505732).

20961024 is an abundant number, since it is smaller than the sum of its proper divisors (44050440).

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

20961024 is an equidigital number, since it uses as much as digits as its factorization.

20961024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20961024 is about 4578.3210896572. The cubic root of 20961024 is about 275.7216264893.

Adding to 20961024 its reverse (42016902), we get a palindrome (62977926).

The spelling of 20961024 in words is "twenty million, nine hundred sixty-one thousand, twenty-four".