20338000 has 40 divisors (see below), whose sum is σ = 49182120. Its totient is φ = 8134400.

The previous prime is 20337991. The next prime is 20338027. The reversal of 20338000 is 83302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 20286016 = 228^2 + 4504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3085 + ... + 7084.

It is an arithmetic number, because the mean of its divisors is an integer number (1229553).

Almost surely, 2^20338000 is an apocalyptic number.

20338000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20338000 is an abundant number, since it is smaller than the sum of its proper divisors (28844120).

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

20338000 is a wasteful number, since it uses less digits than its factorization.

20338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20338000 is about 4509.7671780259. The cubic root of 20338000 is about 272.9623495063.

It can be divided in two parts, 20 and 338000, that multiplied together give a square (6760000 = 2600²).

The spelling of 20338000 in words is "twenty million, three hundred thirty-eight thousand".