8853984 has 72 divisors (see below), whose sum is σ = 25592112. Its totient is φ = 2903040.

The previous prime is 8853973. The next prime is 8854007. The reversal of 8853984 is 4893588.

It is a tau number, because it is divible by the number of its divisors (72).

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, 20232 + ... + 20664.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^8853984 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 8853984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796056).

8853984 is an abundant number, since it is smaller than the sum of its proper divisors (16738128).

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

8853984 is a wasteful number, since it uses less digits than its factorization.

8853984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 8853984 is about 2975.5644842618. The cubic root of 8853984 is about 206.8773340311.

It can be divided in two parts, 885 and 3984, that multiplied together give a triangular number (3525840 = T₂₆₅₅).

The spelling of 8853984 in words is "eight million, eight hundred fifty-three thousand, nine hundred eighty-four".