20819600 has 120 divisors (see below), whose sum is σ = 54615552. Its totient is φ = 7603200.

The previous prime is 20819563. The next prime is 20819629. The reversal of 20819600 is 691802.

It is a super-3 number, since 3×20819600³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20819600.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 285164 + ... + 285236.

Almost surely, 2^20819600 is an apocalyptic number.

20819600 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 20819600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27307776).

20819600 is an abundant number, since it is smaller than the sum of its proper divisors (33795952).

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

20819600 is a wasteful number, since it uses less digits than its factorization.

20819600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 20819600 is about 4562.8499865764. The cubic root of 20819600 is about 275.1001288274.

The spelling of 20819600 in words is "twenty million, eight hundred nineteen thousand, six hundred".