54959920 has 60 divisors (see below), whose sum is σ = 130978224. Its totient is φ = 21447040.

The previous prime is 54959897. The next prime is 54959921. The reversal of 54959920 is 2995945.

It is a happy number.

54959920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54959921) 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 11 ways as a sum of consecutive naturals, for example, 176565 + ... + 176875.

Almost surely, 2^54959920 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 54959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65489112).

54959920 is an abundant number, since it is smaller than the sum of its proper divisors (76018304).

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

54959920 is a wasteful number, since it uses less digits than its factorization.

54959920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The square root of 54959920 is about 7413.4958015770. The cubic root of 54959920 is about 380.2028464553.

The spelling of 54959920 in words is "fifty-four million, nine hundred fifty-nine thousand, nine hundred twenty".