19880800 has 36 divisors (see below), whose sum is σ = 48535956. Its totient is φ = 7952000.

The previous prime is 19880789. The next prime is 19880807. The reversal of 19880800 is 808891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19880807) 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 5 ways as a sum of consecutive naturals, for example, 11626 + ... + 13225.

It is an arithmetic number, because the mean of its divisors is an integer number (1348221).

Almost surely, 2^19880800 is an apocalyptic number.

19880800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19880800 is an abundant number, since it is smaller than the sum of its proper divisors (28655156).

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

19880800 is a wasteful number, since it uses less digits than its factorization.

19880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24871 (or 24858 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 19880800 is about 4458.7890732799. The cubic root of 19880800 is about 270.9014224598.

The spelling of 19880800 in words is "nineteen million, eight hundred eighty thousand, eight hundred".