19896480 has 144 divisors (see below), whose sum is σ = 69759144. Its totient is φ = 5160960.

The previous prime is 19896479. The next prime is 19896493. The reversal of 19896480 is 8469891.

It can be written as a sum of positive squares in 4 ways, for example, as 8363664 + 11532816 = 2892^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 58872 + ... + 59208.

Almost surely, 2^19896480 is an apocalyptic number.

19896480 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 19896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34879572).

19896480 is an abundant number, since it is smaller than the sum of its proper divisors (49862664).

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

19896480 is a wasteful number, since it uses less digits than its factorization.

19896480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

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

The square root of 19896480 is about 4460.5470516518. The cubic root of 19896480 is about 270.9726237874.

The spelling of 19896480 in words is "nineteen million, eight hundred ninety-six thousand, four hundred eighty".