19885680 has 120 divisors (see below), whose sum is σ = 67897440. Its totient is φ = 5214720.

The previous prime is 19885661. The next prime is 19885681. The reversal of 19885680 is 8658891.

19885680 is a `hidden beast` number, since 1 + 9 + 88 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19885681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50926 + ... + 51314.

It is an arithmetic number, because the mean of its divisors is an integer number (565812).

Almost surely, 2^19885680 is an apocalyptic number.

19885680 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 19885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948720).

19885680 is an abundant number, since it is smaller than the sum of its proper divisors (48011760).

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

19885680 is a wasteful number, since it uses less digits than its factorization.

19885680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 19885680 is about 4459.3362734829. The cubic root of 19885680 is about 270.9235860680.

It can be divided in two parts, 1 and 9885680, that added together give a triangular number (9885681 = T₄₄₄₆).

The spelling of 19885680 in words is "nineteen million, eight hundred eighty-five thousand, six hundred eighty".