54661188 has 48 divisors (see below), whose sum is σ = 137942784. Its totient is φ = 16780800.

The previous prime is 54661169. The next prime is 54661193. The reversal of 54661188 is 88116645.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 6738 + ... + 12438.

It is an arithmetic number, because the mean of its divisors is an integer number (2873808).

Almost surely, 2^54661188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54661188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68971392).

54661188 is an abundant number, since it is smaller than the sum of its proper divisors (83281596).

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

54661188 is a wasteful number, since it uses less digits than its factorization.

54661188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5770 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 54661188 is about 7393.3204989369. The cubic root of 54661188 is about 379.5127364967.

The spelling of 54661188 in words is "fifty-four million, six hundred sixty-one thousand, one hundred eighty-eight".