19842966 has 72 divisors (see below), whose sum is σ = 50872536. Its totient is φ = 5541120.

The previous prime is 19842937. The next prime is 19842967. The reversal of 19842966 is 66924891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19842967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33166 + ... + 33758.

It is an arithmetic number, because the mean of its divisors is an integer number (706563).

Almost surely, 2^19842966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19842966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25436268).

19842966 is an abundant number, since it is smaller than the sum of its proper divisors (31029570).

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

19842966 is a wasteful number, since it uses less digits than its factorization.

19842966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 19842966 is about 4454.5444211502. The cubic root of 19842966 is about 270.7294677278.

It can be divided in two parts, 1984 and 2966, that added together give a triangular number (4950 = T₉₉).

The spelling of 19842966 in words is "nineteen million, eight hundred forty-two thousand, nine hundred sixty-six".