55641330 has 80 divisors (see below), whose sum is σ = 151824024. Its totient is φ = 14618880.

The previous prime is 55641293. The next prime is 55641331. The reversal of 55641330 is 3314655.

It can be written as a sum of positive squares in 4 ways, for example, as 48399849 + 7241481 = 6957^2 + 2691^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55641294 and 55641303.

It is not an unprimeable number, because it can be changed into a prime (55641331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58660 + ... + 59600.

Almost surely, 2^55641330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55641330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75912012).

55641330 is an abundant number, since it is smaller than the sum of its proper divisors (96182694).

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

55641330 is a wasteful number, since it uses less digits than its factorization.

55641330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1024 counting only the distinct ones).

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

The square root of 55641330 is about 7459.3116304388. The cubic root of 55641330 is about 381.7676876640.

Adding to 55641330 its reverse (3314655), we get a palindrome (58955985).

The spelling of 55641330 in words is "fifty-five million, six hundred forty-one thousand, three hundred thirty".