4661632 has 32 divisors (see below), whose sum is σ = 9424800. Its totient is φ = 2296320.

The previous prime is 4661609. The next prime is 4661639. The reversal of 4661632 is 2361664.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4661632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661639) 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 3 ways as a sum of consecutive naturals, for example, 9882 + ... + 10342.

It is an arithmetic number, because the mean of its divisors is an integer number (294525).

Almost surely, 2^4661632 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 4661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712400).

4661632 is an abundant number, since it is smaller than the sum of its proper divisors (4763168).

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

4661632 is an equidigital number, since it uses as much as digits as its factorization.

4661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 4661632 is about 2159.0812861030. The cubic root of 4661632 is about 167.0498136266.

Subtracting from 4661632 its reverse (2361664), we obtain a cube (2299968 = 132³).

The spelling of 4661632 in words is "four million, six hundred sixty-one thousand, six hundred thirty-two".