8288016 has 60 divisors (see below), whose sum is σ = 23550576. Its totient is φ = 2509760.

The previous prime is 8288011. The next prime is 8288017. The reversal of 8288016 is 6108828.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8288011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5095 + ... + 6521.

Almost surely, 2^8288016 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 8288016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775288).

8288016 is an abundant number, since it is smaller than the sum of its proper divisors (15262560).

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

8288016 is a wasteful number, since it uses less digits than its factorization.

8288016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 8288016 is about 2878.8914533202. The cubic root of 8288016 is about 202.3718927573.

8288016 divided by its sum of digits (33) gives a palindrome (251152).

The spelling of 8288016 in words is "eight million, two hundred eighty-eight thousand, sixteen".