4616160 has 96 divisors (see below), whose sum is σ = 14878080. Its totient is φ = 1202688.

The previous prime is 4616153. The next prime is 4616167. The reversal of 4616160 is 616164.

4616160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4616153) and next prime (4616167).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4616160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4616167) 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, 28239 + ... + 28401.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

Almost surely, 2^4616160 is an apocalyptic number.

4616160 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 4616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439040).

4616160 is an abundant number, since it is smaller than the sum of its proper divisors (10261920).

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

4616160 is a wasteful number, since it uses less digits than its factorization.

4616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4616160 is about 2148.5250754878. The cubic root of 4616160 is about 166.5048741009.

The spelling of 4616160 in words is "four million, six hundred sixteen thousand, one hundred sixty".