19183968 has 72 divisors (see below), whose sum is σ = 55528200. Its totient is φ = 6280704.

The previous prime is 19183963. The next prime is 19183979. The reversal of 19183968 is 86938191.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19183963) 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, 16428 + ... + 17556.

It is an arithmetic number, because the mean of its divisors is an integer number (771225).

Almost surely, 2^19183968 is an apocalyptic number.

19183968 is a gapful number since it is divisible by the number (18) 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 19183968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27764100).

19183968 is an abundant number, since it is smaller than the sum of its proper divisors (36344232).

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

19183968 is a wasteful number, since it uses less digits than its factorization.

19183968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1193 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 19183968 is about 4379.9506846539. The cubic root of 19183968 is about 267.6986290772.

It can be divided in two parts, 1918 and 3968, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 19183968 in words is "nineteen million, one hundred eighty-three thousand, nine hundred sixty-eight".