54756000 has 360 divisors, whose sum is σ = 217621404. Its totient is φ = 13478400.

The previous prime is 54755993. The next prime is 54756007. The reversal of 54756000 is 65745.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54756000 is a `hidden beast` number, since 54 + 7 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54755993) and next prime (54756007).

It can be written as a sum of positive squares in 6 ways, for example, as 2396304 + 52359696 = 1548^2 + 7236^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54756007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4211994 + ... + 4212006.

Almost surely, 2^54756000 is an apocalyptic number.

54756000 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 54756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108810702).

54756000 is an abundant number, since it is smaller than the sum of its proper divisors (162865404).

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

54756000 is a wasteful number, since it uses less digits than its factorization.

54756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 54756000 is about 7399.7297247940. The cubic root of 54756000 is about 379.7320363853.

The spelling of 54756000 in words is "fifty-four million, seven hundred fifty-six thousand".