4909632 has 112 divisors (see below), whose sum is σ = 16044672. Its totient is φ = 1290240.

The previous prime is 4909609. The next prime is 4909637. The reversal of 4909632 is 2369094.

It is a tau number, because it is divible by the number of its divisors (112).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 4909593 and 4909602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4909637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17332 + ... + 17612.

It is an arithmetic number, because the mean of its divisors is an integer number (143256).

Almost surely, 2^4909632 is an apocalyptic number.

4909632 is a gapful number since it is divisible by the number (42) 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 4909632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022336).

4909632 is an abundant number, since it is smaller than the sum of its proper divisors (11135040).

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

4909632 is a wasteful number, since it uses less digits than its factorization.

4909632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 4909632 is about 2215.7689410225. The cubic root of 4909632 is about 169.9611445223.

The spelling of 4909632 in words is "four million, nine hundred nine thousand, six hundred thirty-two".