55632640 has 108 divisors (see below), whose sum is σ = 155188656. Its totient is φ = 19052544.

The previous prime is 55632637. The next prime is 55632641. The reversal of 55632640 is 4623655.

It is not an unprimeable number, because it can be changed into a prime (55632641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62277 + ... + 63163.

It is an arithmetic number, because the mean of its divisors is an integer number (1436932).

Almost surely, 2^55632640 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 55632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77594328).

55632640 is an abundant number, since it is smaller than the sum of its proper divisors (99556016).

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

55632640 is an equidigital number, since it uses as much as digits as its factorization.

55632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 55632640 is about 7458.7291142660. The cubic root of 55632640 is about 381.7478119473.

The spelling of 55632640 in words is "fifty-five million, six hundred thirty-two thousand, six hundred forty".