7616160 has 192 divisors, whose sum is σ = 27941760. Its totient is φ = 1935360.

The previous prime is 7616143. The next prime is 7616179. The reversal of 7616160 is 616167.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177099 + ... + 177141.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

Almost surely, 2^7616160 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 7616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

7616160 is an abundant number, since it is smaller than the sum of its proper divisors (20325600).

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

7616160 is a wasteful number, since it uses less digits than its factorization.

7616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7616160 is about 2759.7391181052. The cubic root of 7616160 is about 196.7487671515.

It can be divided in two parts, 7616 and 160, that added together give a 5-th power (7776 = 6⁵).

The spelling of 7616160 in words is "seven million, six hundred sixteen thousand, one hundred sixty".