54069120 has 320 divisors, whose sum is σ = 222156000. Its totient is φ = 12275712.

The previous prime is 54069109. The next prime is 54069121. The reversal of 54069120 is 2196045.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54069121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362806 + ... + 362954.

Almost surely, 2^54069120 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 54069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111078000).

54069120 is an abundant number, since it is smaller than the sum of its proper divisors (168086880).

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

54069120 is a wasteful number, since it uses less digits than its factorization.

54069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 54069120 is about 7353.1707446516. The cubic root of 54069120 is about 378.1375161032.

The spelling of 54069120 in words is "fifty-four million, sixty-nine thousand, one hundred twenty".