55034600 has 48 divisors (see below), whose sum is σ = 128613420. Its totient is φ = 21900800.

The previous prime is 55034563. The next prime is 55034611. The reversal of 55034600 is 643055.

55034600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 24542116 + 30492484 = 4954^2 + 5522^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46010 + ... + 47190.

Almost surely, 2^55034600 is an apocalyptic number.

55034600 is a gapful number since it is divisible by the number (50) 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 55034600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64306710).

55034600 is an abundant number, since it is smaller than the sum of its proper divisors (73578820).

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

55034600 is a wasteful number, since it uses less digits than its factorization.

55034600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 55034600 is about 7418.5308518601. The cubic root of 55034600 is about 380.3749761200.

Adding to 55034600 its reverse (643055), we get a palindrome (55677655).

The spelling of 55034600 in words is "fifty-five million, thirty-four thousand, six hundred".