4128624 has 80 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1301184.

The previous prime is 4128623. The next prime is 4128689. The reversal of 4128624 is 4268214.

It is a super-2 number, since 2×4128624² = 34091072266752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128623) 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, 7957 + ... + 8459.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^4128624 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 4128624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

4128624 is an abundant number, since it is smaller than the sum of its proper divisors (8370576).

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

4128624 is a wasteful number, since it uses less digits than its factorization.

4128624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4128624 is about 2031.9015724193. The cubic root of 4128624 is about 160.4236688310.

The spelling of 4128624 in words is "four million, one hundred twenty-eight thousand, six hundred twenty-four".