4321632 has 96 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 1202688.

The previous prime is 4321627. The next prime is 4321633. The reversal of 4321632 is 2361234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

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 = 4321599 and 4321608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4321633) 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, 39594 + ... + 39702.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 2^4321632 is an apocalyptic number.

4321632 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 4321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

4321632 is an abundant number, since it is smaller than the sum of its proper divisors (8983968).

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

4321632 is a wasteful number, since it uses less digits than its factorization.

4321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 4321632 is about 2078.8535301940. The cubic root of 4321632 is about 162.8855633467.

Adding to 4321632 its reverse (2361234), we get a palindrome (6682866).

The spelling of 4321632 in words is "four million, three hundred twenty-one thousand, six hundred thirty-two".