4135896 has 96 divisors (see below), whose sum is σ = 12355200. Its totient is φ = 1244160.

The previous prime is 4135889. The next prime is 4135907. The reversal of 4135896 is 6985314.

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

Its product of digits (25920) is a multiple of the sum of its prime divisors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 4135896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37890 + ... + 37998.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

Almost surely, 2^4135896 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 4135896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177600).

4135896 is an abundant number, since it is smaller than the sum of its proper divisors (8219304).

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

4135896 is a wasteful number, since it uses less digits than its factorization.

4135896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4135896 is about 2033.6902419002. The cubic root of 4135896 is about 160.5178016182.

It can be divided in two parts, 413589 and 6, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 4135896 in words is "four million, one hundred thirty-five thousand, eight hundred ninety-six".