54811008 has 144 divisors (see below), whose sum is σ = 183664260. Its totient is φ = 15644160.

The previous prime is 54810971. The next prime is 54811013. The reversal of 54811008 is 80011845.

54811008 is a `hidden beast` number, since 548 + 110 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×54811008⁴ (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55963 + ... + 56933.

Almost surely, 2^54811008 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 54811008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91832130).

54811008 is an abundant number, since it is smaller than the sum of its proper divisors (128853252).

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

54811008 is a wasteful number, since it uses less digits than its factorization.

54811008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 54811008 is about 7403.4456842743. The cubic root of 54811008 is about 379.8591537115.

The spelling of 54811008 in words is "fifty-four million, eight hundred eleven thousand, eight".