54506088 has 256 divisors, whose sum is σ = 193536000. Its totient is φ = 13830912.

The previous prime is 54506077. The next prime is 54506093. The reversal of 54506088 is 88060545.

It is a happy number.

54506088 is a `hidden beast` number, since 5 + 45 + 0 + 608 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923803 + ... + 923861.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^54506088 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 54506088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

54506088 is an abundant number, since it is smaller than the sum of its proper divisors (139029912).

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

54506088 is a wasteful number, since it uses less digits than its factorization.

54506088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 54506088 is about 7382.8238499913. The cubic root of 54506088 is about 379.1534432507.

The spelling of 54506088 in words is "fifty-four million, five hundred six thousand, eighty-eight".