53544000 has 224 divisors, whose sum is σ = 186391296. Its totient is φ = 13516800.

The previous prime is 53543989. The next prime is 53544013. The reversal of 53544000 is 44535.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551952 + ... + 552048.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 2^53544000 is an apocalyptic number.

53544000 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 53544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93195648).

53544000 is an abundant number, since it is smaller than the sum of its proper divisors (132847296).

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

53544000 is a wasteful number, since it uses less digits than its factorization.

53544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 53544000 is about 7317.3765790753. The cubic root of 53544000 is about 376.9093727330.

Adding to 53544000 its reverse (44535), we get a palindrome (53588535).

The spelling of 53544000 in words is "fifty-three million, five hundred forty-four thousand".