19597968 has 180 divisors, whose sum is σ = 64488060. Its totient is φ = 5515776.

The previous prime is 19597961. The next prime is 19597999. The reversal of 19597968 is 86979591.

It can be written as a sum of positive squares in 2 ways, for example, as 6290064 + 13307904 = 2508^2 + 3648^2 .

It is not an unprimeable number, because it can be changed into a prime (19597961) 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, 675778 + ... + 675806.

It is an arithmetic number, because the mean of its divisors is an integer number (358267).

Almost surely, 2^19597968 is an apocalyptic number.

19597968 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 19597968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32244030).

19597968 is an abundant number, since it is smaller than the sum of its proper divisors (44890092).

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

19597968 is a wasteful number, since it uses less digits than its factorization.

19597968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 19597968 is about 4426.9592272801. The cubic root of 19597968 is about 269.6106321770.

The spelling of 19597968 in words is "nineteen million, five hundred ninety-seven thousand, nine hundred sixty-eight".