19875680 has 96 divisors (see below), whose sum is σ = 53561088. Its totient is φ = 6899200.

The previous prime is 19875679. The next prime is 19875707. The reversal of 19875680 is 8657891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 40235 + ... + 40725.

It is an arithmetic number, because the mean of its divisors is an integer number (557928).

Almost surely, 2^19875680 is an apocalyptic number.

19875680 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 19875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26780544).

19875680 is an abundant number, since it is smaller than the sum of its proper divisors (33685408).

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

19875680 is a wasteful number, since it uses less digits than its factorization.

19875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 19875680 is about 4458.2148893924. The cubic root of 19875680 is about 270.8781649388.

It can be divided in two parts, 1987 and 5680, that added together give a palindrome (7667).

The spelling of 19875680 in words is "nineteen million, eight hundred seventy-five thousand, six hundred eighty".