8007648 has 48 divisors (see below), whose sum is σ = 22934016. Its totient is φ = 2426240.

The previous prime is 8007647. The next prime is 8007667. The reversal of 8007648 is 8467008.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007647) 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 7 ways as a sum of consecutive naturals, for example, 2736 + ... + 4847.

It is an arithmetic number, because the mean of its divisors is an integer number (477792).

Almost surely, 2^8007648 is an apocalyptic number.

8007648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8007648 is an abundant number, since it is smaller than the sum of its proper divisors (14926368).

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

8007648 is a wasteful number, since it uses less digits than its factorization.

8007648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8007648 is about 2829.7787899410. The cubic root of 8007648 is about 200.0637130344.

It can be divided in two parts, 800 and 7648, that added together give a palindrome (8448).

The spelling of 8007648 in words is "eight million, seven thousand, six hundred forty-eight".