19872864 has 240 divisors, whose sum is σ = 69155856. Its totient is φ = 5529600.

The previous prime is 19872857. The next prime is 19872871. The reversal of 19872864 is 46827891.

It is an interprime number because it is at equal distance from previous prime (19872857) and next prime (19872871).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484684 + ... + 484724.

Almost surely, 2^19872864 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 19872864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34577928).

19872864 is an abundant number, since it is smaller than the sum of its proper divisors (49282992).

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

19872864 is a wasteful number, since it uses less digits than its factorization.

19872864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 19872864 is about 4457.8990567306. The cubic root of 19872864 is about 270.8653715998.

It can be divided in two parts, 19872 and 864, that added together give a 4-th power (20736 = 12⁴).

The spelling of 19872864 in words is "nineteen million, eight hundred seventy-two thousand, eight hundred sixty-four".