19783680 has 224 divisors, whose sum is σ = 75492864. Its totient is φ = 4325376.

The previous prime is 19783669. The next prime is 19783691. The reversal of 19783680 is 8638791.

It is an interprime number because it is at equal distance from previous prime (19783669) and next prime (19783691).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860149 + ... + 860171.

Almost surely, 2^19783680 is an apocalyptic number.

19783680 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 19783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37746432).

19783680 is an abundant number, since it is smaller than the sum of its proper divisors (55709184).

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

19783680 is an equidigital number, since it uses as much as digits as its factorization.

19783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 19783680 is about 4447.8848905969. The cubic root of 19783680 is about 270.4595739564.

The spelling of 19783680 in words is "nineteen million, seven hundred eighty-three thousand, six hundred eighty".