4032096 has 48 divisors (see below), whose sum is σ = 10718064. Its totient is φ = 1327104.

The previous prime is 4032071. The next prime is 4032097. The reversal of 4032096 is 6902304.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9096 + ... + 9528.

It is an arithmetic number, because the mean of its divisors is an integer number (223293).

Almost surely, 2^4032096 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 4032096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359032).

4032096 is an abundant number, since it is smaller than the sum of its proper divisors (6685968).

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

4032096 is a wasteful number, since it uses less digits than its factorization.

4032096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 4032096 is about 2008.0079681117. The cubic root of 4032096 is about 159.1635514986.

The spelling of 4032096 in words is "four million, thirty-two thousand, ninety-six".