19806480 has 60 divisors (see below), whose sum is σ = 66519180. Its totient is φ = 5281536.

The previous prime is 19806469. The next prime is 19806481. The reversal of 19806480 is 8460891.

It is a happy number.

19806480 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3549456 + 16257024 = 1884^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19806481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13035 + ... + 14474.

It is an arithmetic number, because the mean of its divisors is an integer number (1108653).

Almost surely, 2^19806480 is an apocalyptic number.

19806480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19806480 is an abundant number, since it is smaller than the sum of its proper divisors (46712700).

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

19806480 is a wasteful number, since it uses less digits than its factorization.

19806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27528 (or 27519 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 19806480 is about 4450.4471685439. The cubic root of 19806480 is about 270.5634324721.

Adding to 19806480 its product of nonzero digits (13824), we get a square (19820304 = 4452²).

The spelling of 19806480 in words is "nineteen million, eight hundred six thousand, four hundred eighty".