54993600 has 336 divisors, whose sum is σ = 214172800. Its totient is φ = 13685760.

The previous prime is 54993583. The next prime is 54993607. The reversal of 54993600 is 639945.

54993600 is a `hidden beast` number, since 5 + 49 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54993607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820767 + ... + 820833.

Almost surely, 2^54993600 is an apocalyptic number.

54993600 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 54993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107086400).

54993600 is an abundant number, since it is smaller than the sum of its proper divisors (159179200).

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

54993600 is a wasteful number, since it uses less digits than its factorization.

54993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 54993600 is about 7415.7669866306. The cubic root of 54993600 is about 380.2804946580.

It can be divided in two parts, 549 and 93600, that added together give a palindrome (94149).

The spelling of 54993600 in words is "fifty-four million, nine hundred ninety-three thousand, six hundred".