54124800 has 108 divisors (see below), whose sum is σ = 178686480. Its totient is φ = 14428160.

The previous prime is 54124799. The next prime is 54124801. The reversal of 54124800 is 842145.

It is an interprime number because it is at equal distance from previous prime (54124799) and next prime (54124801).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (54124801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17791 + ... + 20609.

Almost surely, 2^54124800 is an apocalyptic number.

54124800 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 54124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89343240).

54124800 is an abundant number, since it is smaller than the sum of its proper divisors (124561680).

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

54124800 is a wasteful number, since it uses less digits than its factorization.

54124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 54124800 is about 7356.9558922152. The cubic root of 54124800 is about 378.2672726920.

Adding to 54124800 its reverse (842145), we get a palindrome (54966945).

The spelling of 54124800 in words is "fifty-four million, one hundred twenty-four thousand, eight hundred".