54153960 has 128 divisors (see below), whose sum is σ = 193812480. Its totient is φ = 11835648.

The previous prime is 54153949. The next prime is 54153961. The reversal of 54153960 is 6935145.

It is a happy number.

54153960 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 (54153961) 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 31 ways as a sum of consecutive naturals, for example, 17919 + ... + 20721.

It is an arithmetic number, because the mean of its divisors is an integer number (1514160).

Almost surely, 2^54153960 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 54153960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96906240).

54153960 is an abundant number, since it is smaller than the sum of its proper divisors (139658520).

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

54153960 is a wasteful number, since it uses less digits than its factorization.

54153960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 54153960 is about 7358.9374232969. The cubic root of 54153960 is about 378.3351916090.

The spelling of 54153960 in words is "fifty-four million, one hundred fifty-three thousand, nine hundred sixty".