7166448 has 80 divisors (see below), whose sum is σ = 21025440. Its totient is φ = 2336256.

The previous prime is 7166447. The next prime is 7166459. The reversal of 7166448 is 8446617.

7166448 is a `hidden beast` number, since 7 + 1 + 6 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7166443) 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 15 ways as a sum of consecutive naturals, for example, 22740 + ... + 23052.

It is an arithmetic number, because the mean of its divisors is an integer number (262818).

Almost surely, 2^7166448 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 7166448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10512720).

7166448 is an abundant number, since it is smaller than the sum of its proper divisors (13858992).

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

7166448 is a wasteful number, since it uses less digits than its factorization.

7166448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7166448 is about 2677.0222262805. The cubic root of 7166448 is about 192.7974644272.

The spelling of 7166448 in words is "seven million, one hundred sixty-six thousand, four hundred forty-eight".