19800900 has 162 divisors, whose sum is σ = 72358650. Its totient is φ = 4515840.

The previous prime is 19800899. The next prime is 19800929. The reversal of 19800900 is 900891.

It can be written as a sum of positive squares in 3 ways, for example, as 1806336 + 17994564 = 1344^2 + 4242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 43876 + ... + 44324.

Almost surely, 2^19800900 is an apocalyptic number.

19800900 is a gapful number since it is divisible by the number (10) 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 19800900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36179325).

19800900 is an abundant number, since it is smaller than the sum of its proper divisors (52557750).

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

19800900 is a wasteful number, since it uses less digits than its factorization.

19800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 19800900 is about 4449.8202210876. The cubic root of 19800900 is about 270.5380218363.

The spelling of 19800900 in words is "nineteen million, eight hundred thousand, nine hundred".