54864810 has 384 divisors, whose sum is σ = 206841600. Its totient is φ = 10160640.

The previous prime is 54864791. The next prime is 54864811. The reversal of 54864810 is 1846845.

54864810 is a `hidden beast` number, since 5 + 4 + 8 + 648 + 1 + 0 = 666.

54864810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54864810² = 6020294752672200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54864811) 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 191 ways as a sum of consecutive naturals, for example, 1891876 + ... + 1891904.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 2^54864810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54864810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

54864810 is an abundant number, since it is smaller than the sum of its proper divisors (151976790).

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

54864810 is a wasteful number, since it uses less digits than its factorization.

54864810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 54864810 is about 7407.0783713958. The cubic root of 54864810 is about 379.9834018604.

It can be divided in two parts, 5486 and 4810, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 54864810 in words is "fifty-four million, eight hundred sixty-four thousand, eight hundred ten".