54536900 has 72 divisors (see below), whose sum is σ = 132220704. Its totient is φ = 19353600.

The previous prime is 54536899. The next prime is 54536903. The reversal of 54536900 is 963545.

It is a happy number.

It is a super-2 number, since 2×54536900² = 5948546923220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54536903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46724 + ... + 47876.

Almost surely, 2^54536900 is an apocalyptic number.

54536900 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 54536900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66110352).

54536900 is an abundant number, since it is smaller than the sum of its proper divisors (77683804).

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

54536900 is a wasteful number, since it uses less digits than its factorization.

54536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 54536900 is about 7384.9102905858. The cubic root of 54536900 is about 379.2248742637.

The spelling of 54536900 in words is "fifty-four million, five hundred thirty-six thousand, nine hundred".