7168896 has 144 divisors (see below), whose sum is σ = 24186240. Its totient is φ = 2032128.

The previous prime is 7168877. The next prime is 7168897. The reversal of 7168896 is 6988617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7168897) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56385 + ... + 56511.

It is an arithmetic number, because the mean of its divisors is an integer number (167960).

Almost surely, 2^7168896 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 7168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12093120).

7168896 is an abundant number, since it is smaller than the sum of its proper divisors (17017344).

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

7168896 is a wasteful number, since it uses less digits than its factorization.

7168896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 7168896 is about 2677.4794116856. The cubic root of 7168896 is about 192.8194146068.

The spelling of 7168896 in words is "seven million, one hundred sixty-eight thousand, eight hundred ninety-six".