55321632 has 144 divisors (see below), whose sum is σ = 165739392. Its totient is φ = 17487360.

The previous prime is 55321631. The next prime is 55321633. The reversal of 55321632 is 23612355.

55321632 is a `hidden beast` number, since 5 + 5 + 3 + 21 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (55321631) and next prime (55321633).

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (5400) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 55321596 and 55321605.

It is not an unprimeable number, because it can be changed into a prime (55321631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825663 + ... + 825729.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^55321632 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 55321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696).

55321632 is an abundant number, since it is smaller than the sum of its proper divisors (110417760).

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

55321632 is a wasteful number, since it uses less digits than its factorization.

55321632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 55321632 is about 7437.8513026277. The cubic root of 55321632 is about 381.0351095014.

Adding to 55321632 its reverse (23612355), we get a palindrome (78933987).

The spelling of 55321632 in words is "fifty-five million, three hundred twenty-one thousand, six hundred thirty-two".