19149216 has 48 divisors (see below), whose sum is σ = 50637888. Its totient is φ = 6336000.

The previous prime is 19149211. The next prime is 19149223. The reversal of 19149216 is 61294191.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (19149211) 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, 13836 + ... + 15156.

It is an arithmetic number, because the mean of its divisors is an integer number (1054956).

Almost surely, 2^19149216 is an apocalyptic number.

19149216 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 19149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318944).

19149216 is an abundant number, since it is smaller than the sum of its proper divisors (31488672).

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

19149216 is a wasteful number, since it uses less digits than its factorization.

19149216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1477 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 19149216 is about 4375.9817184262. The cubic root of 19149216 is about 267.5368848896.

The spelling of 19149216 in words is "nineteen million, one hundred forty-nine thousand, two hundred sixteen".