19868064 has 48 divisors (see below), whose sum is σ = 53377632. Its totient is φ = 6467328.

The previous prime is 19868063. The next prime is 19868077. The reversal of 19868064 is 46086891.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (19868063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1722 + ... + 6534.

It is an arithmetic number, because the mean of its divisors is an integer number (1112034).

Almost surely, 2^19868064 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 19868064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26688816).

19868064 is an abundant number, since it is smaller than the sum of its proper divisors (33509568).

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

19868064 is a wasteful number, since it uses less digits than its factorization.

19868064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 19868064 is about 4457.3606540194. The cubic root of 19868064 is about 270.8435619858.

The spelling of 19868064 in words is "nineteen million, eight hundred sixty-eight thousand, sixty-four".