8042664 has 64 divisors (see below), whose sum is σ = 23472000. Its totient is φ = 2295552.

The previous prime is 8042659. The next prime is 8042669. The reversal of 8042664 is 4662408.

It is an interprime number because it is at equal distance from previous prime (8042659) and next prime (8042669).

It is not an unprimeable number, because it can be changed into a prime (8042669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7744 + ... + 8720.

It is an arithmetic number, because the mean of its divisors is an integer number (366750).

Almost surely, 2^8042664 is an apocalyptic number.

8042664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736000).

8042664 is an abundant number, since it is smaller than the sum of its proper divisors (15429336).

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

8042664 is a wasteful number, since it uses less digits than its factorization.

8042664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 8042664 is about 2835.9590970252. The cubic root of 8042664 is about 200.3549031795.

The spelling of 8042664 in words is "eight million, forty-two thousand, six hundred sixty-four".