19214016 has 112 divisors (see below), whose sum is σ = 56083200. Its totient is φ = 5778432.

The previous prime is 19214011. The next prime is 19214021. The reversal of 19214016 is 61041291.

It is an interprime number because it is at equal distance from previous prime (19214011) and next prime (19214021).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (19214011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83790 + ... + 84018.

Almost surely, 2^19214016 is an apocalyptic number.

19214016 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 19214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28041600).

19214016 is an abundant number, since it is smaller than the sum of its proper divisors (36869184).

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

19214016 is a wasteful number, since it uses less digits than its factorization.

19214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 19214016 is about 4383.3795181344. The cubic root of 19214016 is about 267.8383223246.

The spelling of 19214016 in words is "nineteen million, two hundred fourteen thousand, sixteen".