2632896 has 84 divisors (see below), whose sum is σ = 8638032. Its totient is φ = 751104.

The previous prime is 2632873. The next prime is 2632901. The reversal of 2632896 is 6982362.

It is a tau number, because it is divible by the number of its divisors (84).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 2632896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3706 + ... + 4358.

2^2632896 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 2632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319016).

2632896 is an abundant number, since it is smaller than the sum of its proper divisors (6005136).

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

2632896 is a wasteful number, since it uses less digits than its factorization.

2632896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2632896 is about 1622.6201034130. The cubic root of 2632896 is about 138.0843844328.

The spelling of 2632896 in words is "two million, six hundred thirty-two thousand, eight hundred ninety-six".