19713760 has 96 divisors (see below), whose sum is σ = 53125632. Its totient is φ = 6842880.

The previous prime is 19713731. The next prime is 19713763. The reversal of 19713760 is 6731791.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19713763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40237 + ... + 40723.

It is an arithmetic number, because the mean of its divisors is an integer number (553392).

Almost surely, 2^19713760 is an apocalyptic number.

19713760 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 19713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26562816).

19713760 is an abundant number, since it is smaller than the sum of its proper divisors (33411872).

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

19713760 is a wasteful number, since it uses less digits than its factorization.

19713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 19713760 is about 4440.0180179815. The cubic root of 19713760 is about 270.1405760873.

The spelling of 19713760 in words is "nineteen million, seven hundred thirteen thousand, seven hundred sixty".