8024016 has 160 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 1912320.

The previous prime is 8023999. The next prime is 8024047. The reversal of 8024016 is 6104208.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 8023983 and 8024001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47965 + ... + 48131.

Almost surely, 2^8024016 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 8024016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

8024016 is an abundant number, since it is smaller than the sum of its proper divisors (19974192).

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

8024016 is a wasteful number, since it uses less digits than its factorization.

8024016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8024016 is about 2832.6694124094. The cubic root of 8024016 is about 200.1999333999.

The spelling of 8024016 in words is "eight million, twenty-four thousand, sixteen".