55824600 has 192 divisors, whose sum is σ = 197799840. Its totient is φ = 12902400.

The previous prime is 55824589. The next prime is 55824607. The reversal of 55824600 is 642855.

55824600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55824607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 132390 + ... + 132810.

Almost surely, 2^55824600 is an apocalyptic number.

55824600 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 55824600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98899920).

55824600 is an abundant number, since it is smaller than the sum of its proper divisors (141975240).

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

55824600 is a wasteful number, since it uses less digits than its factorization.

55824600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 55824600 is about 7471.5861769774. The cubic root of 55824600 is about 382.1863805454.

The spelling of 55824600 in words is "fifty-five million, eight hundred twenty-four thousand, six hundred".