54936000 has 336 divisors, whose sum is σ = 226649280. Its totient is φ = 12441600.

The previous prime is 54935989. The next prime is 54936017. The reversal of 54936000 is 63945.

It is a happy number.

54936000 is a `hidden beast` number, since 54 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503946 + ... + 504054.

Almost surely, 2^54936000 is an apocalyptic number.

54936000 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 54936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113324640).

54936000 is an abundant number, since it is smaller than the sum of its proper divisors (171713280).

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

54936000 is a wasteful number, since it uses less digits than its factorization.

54936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 54936000 is about 7411.8823520075. The cubic root of 54936000 is about 380.1476803646.

Adding to 54936000 its reverse (63945), we get a palindrome (54999945).

The spelling of 54936000 in words is "fifty-four million, nine hundred thirty-six thousand".