19081216 has 96 divisors (see below), whose sum is σ = 47960640. Its totient is φ = 7434240.

The previous prime is 19081211. The next prime is 19081241. The reversal of 19081216 is 61218091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19081211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1734651 + ... + 1734661.

It is an arithmetic number, because the mean of its divisors is an integer number (499590).

Almost surely, 2^19081216 is an apocalyptic number.

19081216 is a gapful number since it is divisible by the number (16) 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 19081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23980320).

19081216 is an abundant number, since it is smaller than the sum of its proper divisors (28879424).

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

19081216 is an frugal number, since it uses more digits than its factorization.

19081216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 19081216 is about 4368.2051233888. The cubic root of 19081216 is about 267.2198295251.

19081216 divided by its sum of digits (28) gives a cube (681472 = 88³).

It can be divided in two parts, 190 and 81216, that added together give a triangular number (81406 = T₄₀₃).

The spelling of 19081216 in words is "nineteen million, eighty-one thousand, two hundred sixteen".