7815648 has 48 divisors (see below), whose sum is σ = 21727440. Its totient is φ = 2451456.

The previous prime is 7815641. The next prime is 7815659. The reversal of 7815648 is 8465187.

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

It is a super-3 number, since 3×7815648³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7815641) 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, 763 + ... + 4026.

It is an arithmetic number, because the mean of its divisors is an integer number (452655).

Almost surely, 2^7815648 is an apocalyptic number.

It is an amenable number.

7815648 is an abundant number, since it is smaller than the sum of its proper divisors (13911792).

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

7815648 is a wasteful number, since it uses less digits than its factorization.

7815648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4811 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 7815648 is about 2795.6480465180. The cubic root of 7815648 is about 198.4517793225.

The spelling of 7815648 in words is "seven million, eight hundred fifteen thousand, six hundred forty-eight".