4596960 has 96 divisors (see below), whose sum is σ = 14811552. Its totient is φ = 1198080.

The previous prime is 4596901. The next prime is 4596967. The reversal of 4596960 is 696954.

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

It is a super-2 number, since 2×4596960² = 42264082483200, which contains 22 as substring.

4596960 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4596967) 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, 29202 + ... + 29358.

It is an arithmetic number, because the mean of its divisors is an integer number (154287).

Almost surely, 2^4596960 is an apocalyptic number.

4596960 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 4596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405776).

4596960 is an abundant number, since it is smaller than the sum of its proper divisors (10214592).

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

4596960 is a wasteful number, since it uses less digits than its factorization.

4596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 4596960 is about 2144.0522381696. The cubic root of 4596960 is about 166.2737053276.

The spelling of 4596960 in words is "four million, five hundred ninety-six thousand, nine hundred sixty".