4632160 has 96 divisors (see below), whose sum is σ = 12573792. Its totient is φ = 1597440.

The previous prime is 4632151. The next prime is 4632161. The reversal of 4632160 is 612364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632161) 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, 35295 + ... + 35425.

It is an arithmetic number, because the mean of its divisors is an integer number (130977).

Almost surely, 2^4632160 is an apocalyptic number.

4632160 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 4632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286896).

4632160 is an abundant number, since it is smaller than the sum of its proper divisors (7941632).

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

4632160 is a wasteful number, since it uses less digits than its factorization.

4632160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4632160 is about 2152.2453391749. The cubic root of 4632160 is about 166.6970255808.

The spelling of 4632160 in words is "four million, six hundred thirty-two thousand, one hundred sixty".