20642000 has 40 divisors (see below), whose sum is σ = 49917192. Its totient is φ = 8256000.

The previous prime is 20641993. The next prime is 20642009. The reversal of 20642000 is 24602.

It can be written as a sum of positive squares in 4 ways, for example, as 678976 + 19963024 = 824^2 + 4468^2 .

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

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20642009) 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 7 ways as a sum of consecutive naturals, for example, 3161 + ... + 7160.

Almost surely, 2^20642000 is an apocalyptic number.

20642000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20642000 is an abundant number, since it is smaller than the sum of its proper divisors (29275192).

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

20642000 is a wasteful number, since it uses less digits than its factorization.

20642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 20642000 is about 4543.3467840349. The cubic root of 20642000 is about 274.3156537672.

Adding to 20642000 its reverse (24602), we get a palindrome (20666602).

The spelling of 20642000 in words is "twenty million, six hundred forty-two thousand".