19872216 has 160 divisors (see below), whose sum is σ = 68708640. Its totient is φ = 5225472.

The previous prime is 19872197. The next prime is 19872217. The reversal of 19872216 is 61227891.

19872216 = 23³ + 24³ + ... + 94³.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19872217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58800 + ... + 59136.

It is an arithmetic number, because the mean of its divisors is an integer number (429429).

Almost surely, 2^19872216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19872216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34354320).

19872216 is an abundant number, since it is smaller than the sum of its proper divisors (48836424).

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

19872216 is a wasteful number, since it uses less digits than its factorization.

19872216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

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

The square root of 19872216 is about 4457.8263761614. The cubic root of 19872216 is about 270.8624275069.

The spelling of 19872216 in words is "nineteen million, eight hundred seventy-two thousand, two hundred sixteen".