19000968 has 64 divisors (see below), whose sum is σ = 57490560. Its totient is φ = 5108736.

The previous prime is 19000963. The next prime is 19000973. The reversal of 19000968 is 86900091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19000963) and next prime (19000973).

It is a super-2 number, since 2×19000968² = 722073569874048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19000963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471 + ... + 6182.

It is an arithmetic number, because the mean of its divisors is an integer number (898290).

Almost surely, 2^19000968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19000968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28745280).

19000968 is an abundant number, since it is smaller than the sum of its proper divisors (38489592).

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

19000968 is a wasteful number, since it uses less digits than its factorization.

19000968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6682 counting only the distinct ones).

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

The square root of 19000968 is about 4359.0099793416. The cubic root of 19000968 is about 266.8446963966.

The spelling of 19000968 in words is "nineteen million, nine hundred sixty-eight", and thus it is an aban number.