4128696 has 96 divisors (see below), whose sum is σ = 13169520. Its totient is φ = 1152000.

The previous prime is 4128689. The next prime is 4128697. The reversal of 4128696 is 6968214.

4128696 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×4128696² = 34092261320832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4128696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10096 + ... + 10496.

Almost surely, 2^4128696 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 4128696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584760).

4128696 is an abundant number, since it is smaller than the sum of its proper divisors (9040824).

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

4128696 is a wasteful number, since it uses less digits than its factorization.

4128696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 430 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4128696 is about 2031.9192897357. The cubic root of 4128696 is about 160.4246013803.

The spelling of 4128696 in words is "four million, one hundred twenty-eight thousand, six hundred ninety-six".