19716480 has 256 divisors, whose sum is σ = 80294400. Its totient is φ = 4478976.

The previous prime is 19716479. The next prime is 19716493. The reversal of 19716480 is 8461791.

19716480 = 140² + 141² + ... + 395².

19716480 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120879 + ... + 121041.

It is an arithmetic number, because the mean of its divisors is an integer number (313650).

Almost surely, 2^19716480 is an apocalyptic number.

19716480 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 19716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40147200).

19716480 is an abundant number, since it is smaller than the sum of its proper divisors (60577920).

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

19716480 is a wasteful number, since it uses less digits than its factorization.

19716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 19716480 is about 4440.3243124799. The cubic root of 19716480 is about 270.1529997037.

The spelling of 19716480 in words is "nineteen million, seven hundred sixteen thousand, four hundred eighty".