4195296 has 72 divisors (see below), whose sum is σ = 13641264. Its totient is φ = 1198080.

The previous prime is 4195291. The next prime is 4195297. The reversal of 4195296 is 6925914.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 4¹¹ + 1 + 9 + 5 + 2⁵ + 9³ + 6³ .

It is a self number, because there is not a number n which added to its sum of digits gives 4195296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4195291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (189462).

Almost surely, 2^4195296 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 4195296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820632).

4195296 is an abundant number, since it is smaller than the sum of its proper divisors (9445968).

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

4195296 is a wasteful number, since it uses less digits than its factorization.

4195296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2093 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 4195296 is about 2048.2421731817. The cubic root of 4195296 is about 161.2826074314.

The spelling of 4195296 in words is "four million, one hundred ninety-five thousand, two hundred ninety-six".