19200016 has 60 divisors (see below), whose sum is σ = 42251760. Its totient is φ = 8379840.

The previous prime is 19200011. The next prime is 19200019. The reversal of 19200016 is 61000291.

It is a super-2 number, since 2×19200016² = 737281228800512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19199966 and 19200002.

It is not an unprimeable number, because it can be changed into a prime (19200011) 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, 325395 + ... + 325453.

It is an arithmetic number, because the mean of its divisors is an integer number (704196).

Almost surely, 2^19200016 is an apocalyptic number.

19200016 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 19200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21125880).

19200016 is an abundant number, since it is smaller than the sum of its proper divisors (23051744).

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

19200016 is a wasteful number, since it uses less digits than its factorization.

19200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 19200016 is about 4381.7822857828. The cubic root of 19200016 is about 267.7732544143.

The spelling of 19200016 in words is "nineteen million, two hundred thousand, sixteen".