7670160 has 160 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 1976832.

The previous prime is 7670153. The next prime is 7670161. The reversal of 7670160 is 610767.

7670160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7670161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114447 + ... + 114513.

It is an arithmetic number, because the mean of its divisors is an integer number (170748).

Almost surely, 2^7670160 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 7670160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

7670160 is an abundant number, since it is smaller than the sum of its proper divisors (19649520).

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

7670160 is a wasteful number, since it uses less digits than its factorization.

7670160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 7670160 is about 2769.5053710004. The cubic root of 7670160 is about 197.2126676879.

The spelling of 7670160 in words is "seven million, six hundred seventy thousand, one hundred sixty".