7564160 has 64 divisors (see below), whose sum is σ = 18506880. Its totient is φ = 2955264.

The previous prime is 7564159. The next prime is 7564163. The reversal of 7564160 is 614657.

7564160 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7564163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33809 + ... + 34031.

It is an arithmetic number, because the mean of its divisors is an integer number (289170).

Almost surely, 2^7564160 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 7564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

7564160 is an abundant number, since it is smaller than the sum of its proper divisors (10942720).

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

7564160 is a wasteful number, since it uses less digits than its factorization.

7564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 7564160 is about 2750.3018016211. The cubic root of 7564160 is about 196.2999710470.

The spelling of 7564160 in words is "seven million, five hundred sixty-four thousand, one hundred sixty".