54835120 has 40 divisors (see below), whose sum is σ = 127866816. Its totient is φ = 21869568.

The previous prime is 54835117. The next prime is 54835127. The reversal of 54835120 is 2153845.

54835120 = T₂₇₁ + T₂₇₂ + ... + T₇₀₃.

54835120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×54835120³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54835127) 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 7 ways as a sum of consecutive naturals, for example, 33849 + ... + 35431.

Almost surely, 2^54835120 is an apocalyptic number.

It is an amenable number.

54835120 is an abundant number, since it is smaller than the sum of its proper divisors (73031696).

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

54835120 is a wasteful number, since it uses less digits than its factorization.

54835120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 54835120 is about 7405.0739361603. The cubic root of 54835120 is about 379.9148470324.

Adding to 54835120 its reverse (2153845), we get a palindrome (56988965).

The spelling of 54835120 in words is "fifty-four million, eight hundred thirty-five thousand, one hundred twenty".