2872896 has 56 divisors (see below), whose sum is σ = 8193024. Its totient is φ = 883200.

The previous prime is 2872889. The next prime is 2872897. The reversal of 2872896 is 6982782.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2872897) 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, 1921 + ... + 3071.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

2^2872896 is an apocalyptic number.

2872896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096512).

2872896 is an abundant number, since it is smaller than the sum of its proper divisors (5320128).

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

2872896 is a wasteful number, since it uses less digits than its factorization.

2872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1169 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 2872896 is about 1694.9619464755. The cubic root of 2872896 is about 142.1586535935.

The spelling of 2872896 in words is "two million, eight hundred seventy-two thousand, eight hundred ninety-six".