8004464 has 40 divisors (see below), whose sum is σ = 17290560. Its totient is φ = 3564288.

The previous prime is 8004463. The next prime is 8004487. The reversal of 8004464 is 4644008.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5369 + ... + 6695.

It is an arithmetic number, because the mean of its divisors is an integer number (432264).

Almost surely, 2^8004464 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 8004464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645280).

8004464 is an abundant number, since it is smaller than the sum of its proper divisors (9286096).

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

8004464 is a wasteful number, since it uses less digits than its factorization.

8004464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 8004464 is about 2829.2161458609. The cubic root of 8004464 is about 200.0371930829.

It can be divided in two parts, 80044 and 64, that added together give a palindrome (80108).

The spelling of 8004464 in words is "eight million, four thousand, four hundred sixty-four".