19385680 has 40 divisors (see below), whose sum is σ = 45256032. Its totient is φ = 7722624.

The previous prime is 19385671. The next prime is 19385683. The reversal of 19385680 is 8658391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19385683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35167 + ... + 35713.

Almost surely, 2^19385680 is an apocalyptic number.

19385680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19385680 is an abundant number, since it is smaller than the sum of its proper divisors (25870352).

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

19385680 is a wasteful number, since it uses less digits than its factorization.

19385680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 19385680 is about 4402.9172147566. The cubic root of 19385680 is about 268.6336088755.

The spelling of 19385680 in words is "nineteen million, three hundred eighty-five thousand, six hundred eighty".