4123296 has 72 divisors (see below), whose sum is σ = 11924640. Its totient is φ = 1351296.

The previous prime is 4123283. The next prime is 4123297. The reversal of 4123296 is 6923214.

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

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123297) 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, 29595 + ... + 29733.

It is an arithmetic number, because the mean of its divisors is an integer number (165620).

Almost surely, 2^4123296 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 4123296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962320).

4123296 is an abundant number, since it is smaller than the sum of its proper divisors (7801344).

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

4123296 is a wasteful number, since it uses less digits than its factorization.

4123296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4123296 is about 2030.5900620263. The cubic root of 4123296 is about 160.3546300704.

It can be divided in two parts, 41232 and 96, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 4123296 in words is "four million, one hundred twenty-three thousand, two hundred ninety-six".