19084968 has 96 divisors (see below), whose sum is σ = 62212800. Its totient is φ = 5163264.

The previous prime is 19084957. The next prime is 19084969. The reversal of 19084968 is 86948091.

It is a super-2 number, since 2×19084968² = 728472007122048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19084969) 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 23 ways as a sum of consecutive naturals, for example, 8580 + ... + 10572.

It is an arithmetic number, because the mean of its divisors is an integer number (648050).

Almost surely, 2^19084968 is an apocalyptic number.

19084968 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 19084968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31106400).

19084968 is an abundant number, since it is smaller than the sum of its proper divisors (43127832).

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

19084968 is a wasteful number, since it uses less digits than its factorization.

19084968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 19084968 is about 4368.6345692905. The cubic root of 19084968 is about 267.2373431380.

It can be divided in two parts, 190 and 84968, that added together give a palindrome (85158).

The spelling of 19084968 in words is "nineteen million, eighty-four thousand, nine hundred sixty-eight".