19882080 has 72 divisors (see below), whose sum is σ = 67852512. Its totient is φ = 5301504.

The previous prime is 19882043. The next prime is 19882087. The reversal of 19882080 is 8028891.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19882087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5464 + ... + 8343.

It is an arithmetic number, because the mean of its divisors is an integer number (942396).

Almost surely, 2^19882080 is an apocalyptic number.

19882080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19882080 is an abundant number, since it is smaller than the sum of its proper divisors (47970432).

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

19882080 is a wasteful number, since it uses less digits than its factorization.

19882080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13828 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 19882080 is about 4458.9326076988. The cubic root of 19882080 is about 270.9072362161.

The spelling of 19882080 in words is "nineteen million, eight hundred eighty-two thousand, eighty".