55666000 has 80 divisors (see below), whose sum is σ = 145021968. Its totient is φ = 20544000.

The previous prime is 55665989. The next prime is 55666021. The reversal of 55666000 is 66655.

It can be written as a sum of positive squares in 8 ways, for example, as 13571856 + 42094144 = 3684^2 + 6488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 55666000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24930 + ... + 27070.

Almost surely, 2^55666000 is an apocalyptic number.

55666000 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 55666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72510984).

55666000 is an abundant number, since it is smaller than the sum of its proper divisors (89355968).

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

55666000 is a wasteful number, since it uses less digits than its factorization.

55666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 55666000 is about 7460.9650850275. The cubic root of 55666000 is about 381.8241014680.

The spelling of 55666000 in words is "fifty-five million, six hundred sixty-six thousand".