19775680 has 56 divisors (see below), whose sum is σ = 48737520. Its totient is φ = 7633920.

The previous prime is 19775671. The next prime is 19775719. The reversal of 19775680 is 8657791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8215 + ... + 10345.

Almost surely, 2^19775680 is an apocalyptic number.

19775680 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 19775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24368760).

19775680 is an abundant number, since it is smaller than the sum of its proper divisors (28961840).

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

19775680 is a wasteful number, since it uses less digits than its factorization.

19775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 19775680 is about 4446.9854958162. The cubic root of 19775680 is about 270.4231134614.

The spelling of 19775680 in words is "nineteen million, seven hundred seventy-five thousand, six hundred eighty".