19717992 has 192 divisors, whose sum is σ = 67305600. Its totient is φ = 5388768.

The previous prime is 19717987. The next prime is 19717993. The reversal of 19717992 is 29971791.

19717992 = 63³ + 64³ + ... + 98³.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19717993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857293 + ... + 857315.

It is an arithmetic number, because the mean of its divisors is an integer number (350550).

Almost surely, 2^19717992 is an apocalyptic number.

19717992 is a gapful number since it is divisible by the number (12) 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 19717992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33652800).

19717992 is an abundant number, since it is smaller than the sum of its proper divisors (47587608).

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

19717992 is an equidigital number, since it uses as much as digits as its factorization.

19717992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its digits is 71442, while the sum is 45.

The square root of 19717992 is about 4440.4945670499. The cubic root of 19717992 is about 270.1599052787.

19717992 divided by its product of digits (71442) gives a triangular number (276 = T₂₃).

The spelling of 19717992 in words is "nineteen million, seven hundred seventeen thousand, nine hundred ninety-two".