19870960 has 80 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 7077888.

The previous prime is 19870951. The next prime is 19870973. The reversal of 19870960 is 6907891.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25456 + ... + 26224.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^19870960 is an apocalyptic number.

19870960 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 19870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600).

19870960 is an abundant number, since it is smaller than the sum of its proper divisors (31688240).

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

19870960 is a wasteful number, since it uses less digits than its factorization.

19870960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 19870960 is about 4457.6854981032. The cubic root of 19870960 is about 270.8567208732.

The spelling of 19870960 in words is "nineteen million, eight hundred seventy thousand, nine hundred sixty".