19790496 has 72 divisors (see below), whose sum is σ = 61405344. Its totient is φ = 5996160.

The previous prime is 19790489. The next prime is 19790497. The reversal of 19790496 is 69409791.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (19790497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 6291.

It is an arithmetic number, because the mean of its divisors is an integer number (852852).

Almost surely, 2^19790496 is an apocalyptic number.

19790496 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 19790496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30702672).

19790496 is an abundant number, since it is smaller than the sum of its proper divisors (41614848).

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

19790496 is a wasteful number, since it uses less digits than its factorization.

19790496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 19790496 is about 4448.6510314926. The cubic root of 19790496 is about 270.4906305443.

It can be divided in two parts, 1979049 and 6, that added together give a triangular number (1979055 = T₁₉₈₉).

The spelling of 19790496 in words is "nineteen million, seven hundred ninety thousand, four hundred ninety-six".