54045810 has 96 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 11401344.

The previous prime is 54045809. The next prime is 54045811. The reversal of 54045810 is 1854045.

54045810 is a `hidden beast` number, since 540 + 45 + 81 + 0 = 666.

54045810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54045809) and next prime (54045811).

It is a super-2 number, since 2×54045810² = 5841899157112200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54045811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4891 + ... + 11489.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^54045810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54045810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

54045810 is an abundant number, since it is smaller than the sum of its proper divisors (118926990).

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

54045810 is a wasteful number, since it uses less digits than its factorization.

54045810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54045810 is about 7351.5855432689. The cubic root of 54045810 is about 378.0831680609.

Adding to 54045810 its reverse (1854045), we get a palindrome (55899855).

The spelling of 54045810 in words is "fifty-four million, forty-five thousand, eight hundred ten".