7167648 has 48 divisors (see below), whose sum is σ = 18960480. Its totient is φ = 2370816.

The previous prime is 7167647. The next prime is 7167673. The reversal of 7167648 is 8467617.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7167647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18723 + ... + 19101.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 2^7167648 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 7167648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480240).

7167648 is an abundant number, since it is smaller than the sum of its proper divisors (11792832).

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

7167648 is a wasteful number, since it uses less digits than its factorization.

7167648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 7167648 is about 2677.2463465285. The cubic root of 7167648 is about 192.8082249437.

The spelling of 7167648 in words is "seven million, one hundred sixty-seven thousand, six hundred forty-eight".