19082016 has 72 divisors (see below), whose sum is σ = 55233360. Its totient is φ = 6247296.

The previous prime is 19082003. The next prime is 19082017. The reversal of 19082016 is 61028091.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (19082017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16431 + ... + 17553.

It is an arithmetic number, because the mean of its divisors is an integer number (767130).

Almost surely, 2^19082016 is an apocalyptic number.

19082016 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 19082016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27616680).

19082016 is an abundant number, since it is smaller than the sum of its proper divisors (36151344).

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

19082016 is a wasteful number, since it uses less digits than its factorization.

19082016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 19082016 is about 4368.2966932204. The cubic root of 19082016 is about 267.2235639634.

The spelling of 19082016 in words is "nineteen million, eighty-two thousand, sixteen".