4126896 has 80 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1336320.

The previous prime is 4126891. The next prime is 4126897. The reversal of 4126896 is 6986214.

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 an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4126896.

It is not an unprimeable number, because it can be changed into a prime (4126891) 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 15 ways as a sum of consecutive naturals, for example, 17596 + ... + 17828.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^4126896 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 4126896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

4126896 is an abundant number, since it is smaller than the sum of its proper divisors (8059824).

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

4126896 is a wasteful number, since it uses less digits than its factorization.

4126896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

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

The square root of 4126896 is about 2031.4763104698. The cubic root of 4126896 is about 160.4012843930.

The spelling of 4126896 in words is "four million, one hundred twenty-six thousand, eight hundred ninety-six".