19921680 has 160 divisors (see below), whose sum is σ = 71781120. Its totient is φ = 5068800.

The previous prime is 19921679. The next prime is 19921687. The reversal of 19921680 is 8612991.

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 (19921687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49480 + ... + 49880.

It is an arithmetic number, because the mean of its divisors is an integer number (448632).

Almost surely, 2^19921680 is an apocalyptic number.

19921680 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 19921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35890560).

19921680 is an abundant number, since it is smaller than the sum of its proper divisors (51859440).

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

19921680 is a wasteful number, since it uses less digits than its factorization.

19921680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 19921680 is about 4463.3709234165. The cubic root of 19921680 is about 271.0869761628.

The spelling of 19921680 in words is "nineteen million, nine hundred twenty-one thousand, six hundred eighty".