54618900 has 144 divisors (see below), whose sum is σ = 186654720. Its totient is φ = 12067200.

The previous prime is 54618871. The next prime is 54618911. The reversal of 54618900 is 981645.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 64681 + ... + 65519.

Almost surely, 2^54618900 is an apocalyptic number.

54618900 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 54618900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93327360).

54618900 is an abundant number, since it is smaller than the sum of its proper divisors (132035820).

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

54618900 is a wasteful number, since it uses less digits than its factorization.

54618900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 54618900 is about 7390.4600668700. The cubic root of 54618900 is about 379.4148426916.

The spelling of 54618900 in words is "fifty-four million, six hundred eighteen thousand, nine hundred".