54006120 has 192 divisors, whose sum is σ = 207792000. Its totient is φ = 11902464.

The previous prime is 54006119. The next prime is 54006131. The reversal of 54006120 is 2160045.

It is a happy number.

54006120 is a `hidden beast` number, since 54 + 0 + 0 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 54006093 and 54006102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72711 + ... + 73449.

It is an arithmetic number, because the mean of its divisors is an integer number (1082250).

Almost surely, 2^54006120 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 54006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103896000).

54006120 is an abundant number, since it is smaller than the sum of its proper divisors (153785880).

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

54006120 is a wasteful number, since it uses less digits than its factorization.

54006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54006120 is about 7348.8856298081. The cubic root of 54006120 is about 377.9905935343.

Adding to 54006120 its reverse (2160045), we get a palindrome (56166165).

The spelling of 54006120 in words is "fifty-four million, six thousand, one hundred twenty".