19980576 has 288 divisors, whose sum is σ = 76422528. Its totient is φ = 4792320.

The previous prime is 19980563. The next prime is 19980637. The reversal of 19980576 is 67508991.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376966 + ... + 377018.

It is an arithmetic number, because the mean of its divisors is an integer number (265356).

Almost surely, 2^19980576 is an apocalyptic number.

19980576 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 19980576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38211264).

19980576 is an abundant number, since it is smaller than the sum of its proper divisors (56441952).

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

19980576 is a wasteful number, since it uses less digits than its factorization.

19980576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 19980576 is about 4469.9637582423. The cubic root of 19980576 is about 271.3538584498.

The spelling of 19980576 in words is "nineteen million, nine hundred eighty thousand, five hundred seventy-six".