54533600 has 72 divisors (see below), whose sum is σ = 145256328. Its totient is φ = 19827200.

The previous prime is 54533599. The next prime is 54533617. The reversal of 54533600 is 633545.

It is a self number, because there is not a number n which added to its sum of digits gives 54533600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5702 + ... + 11898.

It is an arithmetic number, because the mean of its divisors is an integer number (2017449).

Almost surely, 2^54533600 is an apocalyptic number.

54533600 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 54533600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72628164).

54533600 is an abundant number, since it is smaller than the sum of its proper divisors (90722728).

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

54533600 is a wasteful number, since it uses less digits than its factorization.

54533600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 54533600 is about 7384.6868586285. The cubic root of 54533600 is about 379.2172252081.

The spelling of 54533600 in words is "fifty-four million, five hundred thirty-three thousand, six hundred".