4124960 has 96 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1354752.

The previous prime is 4124959. The next prime is 4124971. The reversal of 4124960 is 694214.

4124960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2031²-1.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32417 + ... + 32543.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^4124960 is an apocalyptic number.

4124960 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 4124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

4124960 is an abundant number, since it is smaller than the sum of its proper divisors (7487200).

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

4124960 is a wasteful number, since it uses less digits than its factorization.

4124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4124960 is about 2030.9997538158. Note that the first 3 decimals coincide. The cubic root of 4124960 is about 160.3761981087.

The spelling of 4124960 in words is "four million, one hundred twenty-four thousand, nine hundred sixty".