18967648 has 72 divisors (see below), whose sum is σ = 45490032. Its totient is φ = 7624704.

The previous prime is 18967639. The next prime is 18967651. The reversal of 18967648 is 84676981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64590 + ... + 64882.

It is an arithmetic number, because the mean of its divisors is an integer number (631806).

Almost surely, 2^18967648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18967648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22745016).

18967648 is an abundant number, since it is smaller than the sum of its proper divisors (26522384).

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

18967648 is a wasteful number, since it uses less digits than its factorization.

18967648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 319 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 18967648 is about 4355.1863335568. The cubic root of 18967648 is about 266.6886259694.

The spelling of 18967648 in words is "eighteen million, nine hundred sixty-seven thousand, six hundred forty-eight".