7946160 has 80 divisors (see below), whose sum is σ = 24935904. Its totient is φ = 2093056.

The previous prime is 7946153. The next prime is 7946167. The reversal of 7946160 is 616497.

It is a happy number.

7946160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7946153) and next prime (7946167).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7946167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26974 + ... + 27266.

Almost surely, 2^7946160 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 7946160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467952).

7946160 is an abundant number, since it is smaller than the sum of its proper divisors (16989744).

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

7946160 is a wasteful number, since it uses less digits than its factorization.

7946160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 7946160 is about 2818.8933999000. The cubic root of 7946160 is about 199.5503230443.

The spelling of 7946160 in words is "seven million, nine hundred forty-six thousand, one hundred sixty".