55506420 has 72 divisors (see below), whose sum is σ = 169008840. Its totient is φ = 14745600.

The previous prime is 55506419. The next prime is 55506443. The reversal of 55506420 is 2460555.

It can be written as a sum of positive squares in 4 ways, for example, as 18198756 + 37307664 = 4266^2 + 6108^2 .

It is a super-3 number, since 3×55506420³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71796 + ... + 72564.

It is an arithmetic number, because the mean of its divisors is an integer number (2347345).

Almost surely, 2^55506420 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 55506420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84504420).

55506420 is an abundant number, since it is smaller than the sum of its proper divisors (113502420).

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

55506420 is a wasteful number, since it uses less digits than its factorization.

55506420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 55506420 is about 7450.2630826032. The cubic root of 55506420 is about 381.4588886634.

Adding to 55506420 its reverse (2460555), we get a palindrome (57966975).

The spelling of 55506420 in words is "fifty-five million, five hundred six thousand, four hundred twenty".