54231600 has 120 divisors (see below), whose sum is σ = 177931072. Its totient is φ = 14112000.

The previous prime is 54231599. The next prime is 54231601. The reversal of 54231600 is 613245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54231599) and next prime (54231601).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (54231601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51075 + ... + 52125.

Almost surely, 2^54231600 is an apocalyptic number.

54231600 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 54231600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88965536).

54231600 is an abundant number, since it is smaller than the sum of its proper divisors (123699472).

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

54231600 is a wasteful number, since it uses less digits than its factorization.

54231600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 54231600 is about 7364.2107520087. The cubic root of 54231600 is about 378.5159104197.

Adding to 54231600 its reverse (613245), we get a palindrome (54844845).

The spelling of 54231600 in words is "fifty-four million, two hundred thirty-one thousand, six hundred".