4667160 has 128 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 1115136.

The previous prime is 4667111. The next prime is 4667161. The reversal of 4667160 is 617664.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4667161) 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 31 ways as a sum of consecutive naturals, for example, 52396 + ... + 52484.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 2^4667160 is an apocalyptic number.

4667160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4667160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

4667160 is an abundant number, since it is smaller than the sum of its proper divisors (10884840).

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

4667160 is a wasteful number, since it uses less digits than its factorization.

4667160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4667160 is about 2160.3610809307. The cubic root of 4667160 is about 167.1158195937.

It can be divided in two parts, 466 and 7160, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 4667160 in words is "four million, six hundred sixty-seven thousand, one hundred sixty".