19548960 has 96 divisors (see below), whose sum is σ = 62233920. Its totient is φ = 5157888.

The previous prime is 19548959. The next prime is 19548979. The reversal of 19548960 is 6984591.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66574 + ... + 66866.

It is an arithmetic number, because the mean of its divisors is an integer number (648270).

Almost surely, 2^19548960 is an apocalyptic number.

19548960 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 19548960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31116960).

19548960 is an abundant number, since it is smaller than the sum of its proper divisors (42684960).

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

19548960 is a wasteful number, since it uses less digits than its factorization.

19548960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 19548960 is about 4421.4205861917. The cubic root of 19548960 is about 269.3857090791.

The spelling of 19548960 in words is "nineteen million, five hundred forty-eight thousand, nine hundred sixty".