54825792 has 168 divisors, whose sum is σ = 176515776. Its totient is φ = 14708736.

The previous prime is 54825787. The next prime is 54825821. The reversal of 54825792 is 29752845.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (201600) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485128 + ... + 485240.

Almost surely, 2^54825792 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 54825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88257888).

54825792 is an abundant number, since it is smaller than the sum of its proper divisors (121689984).

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

54825792 is a wasteful number, since it uses less digits than its factorization.

54825792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 54825792 is about 7404.4440709617. Note that the first 3 decimals coincide. The cubic root of 54825792 is about 379.8933033778.

The spelling of 54825792 in words is "fifty-four million, eight hundred twenty-five thousand, seven hundred ninety-two".