19870080 has 128 divisors (see below), whose sum is σ = 64627200. Its totient is φ = 5191680.

The previous prime is 19870063. The next prime is 19870099. The reversal of 19870080 is 8007891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151615 + ... + 151745.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 2^19870080 is an apocalyptic number.

19870080 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 19870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32313600).

19870080 is an abundant number, since it is smaller than the sum of its proper divisors (44757120).

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

19870080 is a wasteful number, since it uses less digits than its factorization.

19870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 19870080 is about 4457.5867910788. The cubic root of 19870080 is about 270.8527224515.

The spelling of 19870080 in words is "nineteen million, eight hundred seventy thousand, eighty".