7964160 has 160 divisors (see below), whose sum is σ = 27400032. Its totient is φ = 1966080.

The previous prime is 7964149. The next prime is 7964161. The reversal of 7964160 is 614697.

It is a happy number.

7964160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7964161) 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, 130530 + ... + 130590.

Almost surely, 2^7964160 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 7964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13700016).

7964160 is an abundant number, since it is smaller than the sum of its proper divisors (19435872).

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

7964160 is a wasteful number, since it uses less digits than its factorization.

7964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

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

The square root of 7964160 is about 2822.0843360892. The cubic root of 7964160 is about 199.7008862111.

The spelling of 7964160 in words is "seven million, nine hundred sixty-four thousand, one hundred sixty".