19852768 has 36 divisors (see below), whose sum is σ = 42334488. Its totient is φ = 9160320.

The previous prime is 19852751. The next prime is 19852771. The reversal of 19852768 is 86725891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3573 + ... + 7243.

It is an arithmetic number, because the mean of its divisors is an integer number (1175958).

Almost surely, 2^19852768 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 19852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21167244).

19852768 is an abundant number, since it is smaller than the sum of its proper divisors (22481720).

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

19852768 is a wasteful number, since it uses less digits than its factorization.

19852768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3686 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 19852768 is about 4455.6445100569. The cubic root of 19852768 is about 270.7740385748.

It can be divided in two parts, 1985 and 2768, that added together give a triangular number (4753 = T₉₇).

The spelling of 19852768 in words is "nineteen million, eight hundred fifty-two thousand, seven hundred sixty-eight".