55622800 has 60 divisors (see below), whose sum is σ = 134420836. Its totient is φ = 22118400.

The previous prime is 55622741. The next prime is 55622839. The reversal of 55622800 is 822655.

It can be written as a sum of positive squares in 6 ways, for example, as 6230016 + 49392784 = 2496^2 + 7028^2 .

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 11 ways as a sum of consecutive naturals, for example, 96112 + ... + 96688.

Almost surely, 2^55622800 is an apocalyptic number.

55622800 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 55622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67210418).

55622800 is an abundant number, since it is smaller than the sum of its proper divisors (78798036).

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

55622800 is a wasteful number, since it uses less digits than its factorization.

55622800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 55622800 is about 7458.0694552947. The cubic root of 55622800 is about 381.7253034585.

The spelling of 55622800 in words is "fifty-five million, six hundred twenty-two thousand, eight hundred".