54056600 has 96 divisors (see below), whose sum is σ = 143428320. Its totient is φ = 18769920.

The previous prime is 54056599. The next prime is 54056621. The reversal of 54056600 is 665045.

54056600 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 54056600.

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 23 ways as a sum of consecutive naturals, for example, 43589 + ... + 44811.

It is an arithmetic number, because the mean of its divisors is an integer number (1494045).

Almost surely, 2^54056600 is an apocalyptic number.

54056600 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 54056600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71714160).

54056600 is an abundant number, since it is smaller than the sum of its proper divisors (89371720).

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

54056600 is a wasteful number, since it uses less digits than its factorization.

54056600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 54056600 is about 7352.3193619429. The cubic root of 54056600 is about 378.1083272479.

The spelling of 54056600 in words is "fifty-four million, fifty-six thousand, six hundred".