5005632 has 84 divisors (see below), whose sum is σ = 14158976. Its totient is φ = 1559040.

The previous prime is 5005621. The next prime is 5005639. The reversal of 5005632 is 2365005.

It is a junction number, because it is equal to n+sod(n) for n = 5005599 and 5005608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005639) by changing a digit.

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, 161457 + ... + 161487.

Almost surely, 2^5005632 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 5005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079488).

5005632 is an abundant number, since it is smaller than the sum of its proper divisors (9153344).

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

5005632 is a wasteful number, since it uses less digits than its factorization.

5005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5005632 is about 2237.3269765504. The cubic root of 5005632 is about 171.0617744732.

The spelling of 5005632 in words is "five million, five thousand, six hundred thirty-two".