4032896 has 48 divisors (see below), whose sum is σ = 9360540. Its totient is φ = 1725696.

The previous prime is 4032881. The next prime is 4032901. The reversal of 4032896 is 6982304.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5951 + ... + 6593.

Almost surely, 2^4032896 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 4032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680270).

4032896 is an abundant number, since it is smaller than the sum of its proper divisors (5327644).

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

4032896 is an equidigital number, since it uses as much as digits as its factorization.

4032896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 4032896 is about 2008.2071606286. The cubic root of 4032896 is about 159.1740772418.

The spelling of 4032896 in words is "four million, thirty-two thousand, eight hundred ninety-six".