55606500 has 120 divisors (see below), whose sum is σ = 181549368. Its totient is φ = 14817600.

The previous prime is 55606477. The next prime is 55606517. The reversal of 55606500 is 560655.

55606500 is a `hidden beast` number, since 5 + 5 + 6 + 0 + 650 + 0 = 666.

55606500 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 4 ways, for example, as 876096 + 54730404 = 936^2 + 7398^2 .

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 39814 + ... + 41186.

Almost surely, 2^55606500 is an apocalyptic number.

55606500 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 55606500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90774684).

55606500 is an abundant number, since it is smaller than the sum of its proper divisors (125942868).

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

55606500 is a wasteful number, since it uses less digits than its factorization.

55606500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55606500 is about 7456.9765991318. The cubic root of 55606500 is about 381.6880122138.

The spelling of 55606500 in words is "fifty-five million, six hundred six thousand, five hundred".