19984968 has 40 divisors (see below), whose sum is σ = 55978230. Its totient is φ = 6661440.

The previous prime is 19984963. The next prime is 19984969. The reversal of 19984968 is 86948991.

It can be written as a sum of positive squares in only one way, i.e., 14424804 + 5560164 = 3798^2 + 2358^2 .

It is a super-2 number, since 2×19984968² = 798797891922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (19984963) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14773 + ... + 16068.

Almost surely, 2^19984968 is an apocalyptic number.

19984968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19984968 is an abundant number, since it is smaller than the sum of its proper divisors (35993262).

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

19984968 is a wasteful number, since it uses less digits than its factorization.

19984968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30859 (or 30846 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 19984968 is about 4470.4550103988. The cubic root of 19984968 is about 271.3737394054.

The spelling of 19984968 in words is "nineteen million, nine hundred eighty-four thousand, nine hundred sixty-eight".