54164800 has 84 divisors (see below), whose sum is σ = 135039100. Its totient is φ = 21381120.

The previous prime is 54164653. The next prime is 54164807. The reversal of 54164800 is 846145.

54164800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 112896 + 54051904 = 336^2 + 7352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54164807) 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 11 ways as a sum of consecutive naturals, for example, 155026 + ... + 155374.

Almost surely, 2^54164800 is an apocalyptic number.

54164800 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 54164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67519550).

54164800 is an abundant number, since it is smaller than the sum of its proper divisors (80874300).

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

54164800 is a wasteful number, since it uses less digits than its factorization.

54164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 54164800 is about 7359.6739058195. The cubic root of 54164800 is about 378.3604337142.

It can be divided in two parts, 541 and 64800, that added together give a triangular number (65341 = T₃₆₁).

The spelling of 54164800 in words is "fifty-four million, one hundred sixty-four thousand, eight hundred".