8742016 has 32 divisors (see below), whose sum is σ = 17564400. Its totient is φ = 4333824.

The previous prime is 8742011. The next prime is 8742037. The reversal of 8742016 is 6102478.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×8742016³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8742011) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 20655 + ... + 21073.

Almost surely, 2^8742016 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 8742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782200).

8742016 is an abundant number, since it is smaller than the sum of its proper divisors (8822384).

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

8742016 is a wasteful number, since it uses less digits than its factorization.

8742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 8742016 is about 2956.6900412454. The cubic root of 8742016 is about 206.0015709812.

The spelling of 8742016 in words is "eight million, seven hundred forty-two thousand, sixteen".