20280864 has 96 divisors (see below), whose sum is σ = 57879360. Its totient is φ = 6214656.

The previous prime is 20280859. The next prime is 20280877. The reversal of 20280864 is 46808202.

It is a happy number.

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

It is a super-2 number, since 2×20280864² = 822626889172992, which contains 22 as substring.

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, 471627 + ... + 471669.

It is an arithmetic number, because the mean of its divisors is an integer number (602910).

Almost surely, 2^20280864 is an apocalyptic number.

20280864 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 20280864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28939680).

20280864 is an abundant number, since it is smaller than the sum of its proper divisors (37598496).

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

20280864 is an equidigital number, since it uses as much as digits as its factorization.

20280864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 20280864 is about 4503.4280276252. The cubic root of 20280864 is about 272.7064966800.

The spelling of 20280864 in words is "twenty million, two hundred eighty thousand, eight hundred sixty-four".