54661200 has 240 divisors, whose sum is σ = 197612352. Its totient is φ = 12800000.

The previous prime is 54661193. The next prime is 54661223. The reversal of 54661200 is 216645.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 541150 + ... + 541250.

Almost surely, 2^54661200 is an apocalyptic number.

54661200 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 54661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98806176).

54661200 is an abundant number, since it is smaller than the sum of its proper divisors (142951152).

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

54661200 is a wasteful number, since it uses less digits than its factorization.

54661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54661200 is about 7393.3213104802. The cubic root of 54661200 is about 379.5127642687.

Adding to 54661200 its reverse (216645), we get a palindrome (54877845).

It can be divided in two parts, 5466 and 1200, that added together give a palindrome (6666).

The spelling of 54661200 in words is "fifty-four million, six hundred sixty-one thousand, two hundred".