19713680 has 120 divisors (see below), whose sum is σ = 54960768. Its totient is φ = 6553344.

The previous prime is 19713667. The next prime is 19713703. The reversal of 19713680 is 8631791.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 19713680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184187 + ... + 184293.

Almost surely, 2^19713680 is an apocalyptic number.

19713680 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 19713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480384).

19713680 is an abundant number, since it is smaller than the sum of its proper divisors (35247088).

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

19713680 is a wasteful number, since it uses less digits than its factorization.

19713680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 19713680 is about 4440.0090089999. The cubic root of 19713680 is about 270.1402106695.

The spelling of 19713680 in words is "nineteen million, seven hundred thirteen thousand, six hundred eighty".