54885600 has 540 divisors, whose sum is σ = 251437032. Its totient is φ = 11404800.

The previous prime is 54885599. The next prime is 54885601. The reversal of 54885600 is 658845.

It is a happy number.

54885600 is a `hidden beast` number, since 5 + 48 + 8 + 5 + 600 = 666.

54885600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54885599) and next prime (54885601).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54885601) 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 89 ways as a sum of consecutive naturals, for example, 4989595 + ... + 4989605.

Almost surely, 2^54885600 is an apocalyptic number.

54885600 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 54885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125718516).

54885600 is an abundant number, since it is smaller than the sum of its proper divisors (196551432).

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

54885600 is a wasteful number, since it uses less digits than its factorization.

54885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 54885600 is about 7408.4816258124. The cubic root of 54885600 is about 380.0313916818.

The spelling of 54885600 in words is "fifty-four million, eight hundred eighty-five thousand, six hundred".