54064800 has 144 divisors (see below), whose sum is σ = 195612480. Its totient is φ = 14411520.

The previous prime is 54064783. The next prime is 54064819. The reversal of 54064800 is 846045.

54064800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×54064800³ (a number of 24 digits) contains 333 as substring.

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

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, 20349 + ... + 22851.

It is an arithmetic number, because the mean of its divisors is an integer number (1358420).

Almost surely, 2^54064800 is an apocalyptic number.

54064800 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 54064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97806240).

54064800 is an abundant number, since it is smaller than the sum of its proper divisors (141547680).

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

54064800 is a wasteful number, since it uses less digits than its factorization.

54064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54064800 is about 7352.8769879551. The cubic root of 54064800 is about 378.1274450585.

The spelling of 54064800 in words is "fifty-four million, sixty-four thousand, eight hundred".