8948016 has 160 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 2315520.

The previous prime is 8947997. The next prime is 8948021. The reversal of 8948016 is 6108498.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33130 + ... + 33398.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 2^8948016 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 8948016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

8948016 is an abundant number, since it is smaller than the sum of its proper divisors (23192784).

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

8948016 is a wasteful number, since it uses less digits than its factorization.

8948016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8948016 is about 2991.3234529218. The cubic root of 8948016 is about 207.6071232813.

The spelling of 8948016 in words is "eight million, nine hundred forty-eight thousand, sixteen".