20338864 has 80 divisors (see below), whose sum is σ = 49510720. Its totient is φ = 7879680.

The previous prime is 20338861. The next prime is 20338867. The reversal of 20338864 is 46883302.

20338864 = T₃₇₇ + T₃₇₈ + ... + T₅₅₉.

It is an interprime number because it is at equal distance from previous prime (20338861) and next prime (20338867).

It is not an unprimeable number, because it can be changed into a prime (20338861) by changing a digit.

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, 88702 + ... + 88930.

It is an arithmetic number, because the mean of its divisors is an integer number (618884).

Almost surely, 2^20338864 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 20338864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24755360).

20338864 is an abundant number, since it is smaller than the sum of its proper divisors (29171856).

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

20338864 is a wasteful number, since it uses less digits than its factorization.

20338864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 20338864 is about 4509.8629690934. The cubic root of 20338864 is about 272.9662147853.

The spelling of 20338864 in words is "twenty million, three hundred thirty-eight thousand, eight hundred sixty-four".