19608000 has 224 divisors, whose sum is σ = 69738240. Its totient is φ = 4838400.

The previous prime is 19607989. The next prime is 19608011. The reversal of 19608000 is 80691.

It is an interprime number because it is at equal distance from previous prime (19607989) and next prime (19608011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455979 + ... + 456021.

Almost surely, 2^19608000 is an apocalyptic number.

19608000 is a gapful number since it is divisible by the number (10) 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 19608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34869120).

19608000 is an abundant number, since it is smaller than the sum of its proper divisors (50130240).

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

19608000 is a wasteful number, since it uses less digits than its factorization.

19608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 19608000 is about 4428.0921399628. The cubic root of 19608000 is about 269.6566279742.

Adding to 19608000 its reverse (80691), we get a palindrome (19688691).

The spelling of 19608000 in words is "nineteen million, six hundred eight thousand".