20642300 has 72 divisors (see below), whose sum is σ = 52642464. Its totient is φ = 6877440.

The previous prime is 20642299. The next prime is 20642351. The reversal of 20642300 is 324602.

It is a super-3 number, since 3×20642300³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25502 + ... + 26298.

Almost surely, 2^20642300 is an apocalyptic number.

20642300 is a gapful number since it is divisible by the number (20) 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 20642300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26321232).

20642300 is an abundant number, since it is smaller than the sum of its proper divisors (32000164).

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

20642300 is a wasteful number, since it uses less digits than its factorization.

20642300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 20642300 is about 4543.3797992244. The cubic root of 20642300 is about 274.3169826807.

Adding to 20642300 its reverse (324602), we get a palindrome (20966902).

The spelling of 20642300 in words is "twenty million, six hundred forty-two thousand, three hundred".