19900800 has 144 divisors (see below), whose sum is σ = 71113380. Its totient is φ = 5299200.

The previous prime is 19900799. The next prime is 19900801. The reversal of 19900800 is 800991.

It is an interprime number because it is at equal distance from previous prime (19900799) and next prime (19900801).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19900801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 28455 + ... + 29145.

Almost surely, 2^19900800 is an apocalyptic number.

19900800 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 19900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35556690).

19900800 is an abundant number, since it is smaller than the sum of its proper divisors (51212580).

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

19900800 is a wasteful number, since it uses less digits than its factorization.

19900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 701 counting only the distinct ones).

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

The square root of 19900800 is about 4461.0312709059. The cubic root of 19900800 is about 270.9922339064.

The spelling of 19900800 in words is "nineteen million, nine hundred thousand, eight hundred".