4124064 has 144 divisors (see below), whose sum is σ = 13825728. Its totient is φ = 1050624.

The previous prime is 4124009. The next prime is 4124069. The reversal of 4124064 is 4604214.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4124064.

It is not an unprimeable number, because it can be changed into a prime (4124069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217047 + ... + 217065.

It is an arithmetic number, because the mean of its divisors is an integer number (96012).

Almost surely, 2^4124064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912864).

4124064 is an abundant number, since it is smaller than the sum of its proper divisors (9701664).

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

4124064 is a wasteful number, since it uses less digits than its factorization.

4124064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4124064 is about 2030.7791608149. The cubic root of 4124064 is about 160.3645852705.

Adding to 4124064 its reverse (4604214), we get a palindrome (8728278).

The spelling of 4124064 in words is "four million, one hundred twenty-four thousand, sixty-four".