19408896 has 168 divisors, whose sum is σ = 62661690. Its totient is φ = 5971968.

The previous prime is 19408891. The next prime is 19408901. The reversal of 19408896 is 69880491.

It is an interprime number because it is at equal distance from previous prime (19408891) and next prime (19408901).

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 746496 = 4320^2 + 864^2 .

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (19408891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492986 + ... + 1492998.

Almost surely, 2^19408896 is an apocalyptic number.

19408896 is a gapful number since it is divisible by the number (16) 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 19408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31330845).

19408896 is an abundant number, since it is smaller than the sum of its proper divisors (43252794).

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

19408896 is an frugal number, since it uses more digits than its factorization.

19408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 18 counting only the distinct ones).

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

The square root of 19408896 is about 4405.5528597442. The cubic root of 19408896 is about 268.7408032908.

The spelling of 19408896 in words is "nineteen million, four hundred eight thousand, eight hundred ninety-six".