7467648 has 32 divisors (see below), whose sum is σ = 19836960. Its totient is φ = 2489088.

The previous prime is 7467631. The next prime is 7467659. The reversal of 7467648 is 8467647.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 7⁵ + 4⁵ + 6⁴ + 7⁸ + 6⁸ + 4⁶ + 8 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9340 + ... + 10107.

It is an arithmetic number, because the mean of its divisors is an integer number (619905).

Almost surely, 2^7467648 is an apocalyptic number.

It is an amenable number.

7467648 is an abundant number, since it is smaller than the sum of its proper divisors (12369312).

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

7467648 is a wasteful number, since it uses less digits than its factorization.

7467648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19464 (or 19452 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 7467648 is about 2732.6997639697. The cubic root of 7467648 is about 195.4615235098.

Subtracting 7467648 from its reverse (8467647), we obtain a palindrome (999999).

The spelling of 7467648 in words is "seven million, four hundred sixty-seven thousand, six hundred forty-eight".