54385968 has 80 divisors (see below), whose sum is σ = 172933376. Its totient is φ = 14342400.

The previous prime is 54385963. The next prime is 54385993. The reversal of 54385968 is 86958345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (54385963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858 + ... + 10593.

Almost surely, 2^54385968 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 54385968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86466688).

54385968 is an abundant number, since it is smaller than the sum of its proper divisors (118547408).

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

54385968 is a wasteful number, since it uses less digits than its factorization.

54385968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12482 (or 12476 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 54385968 is about 7374.6842644279. The cubic root of 54385968 is about 378.8747134750.

The spelling of 54385968 in words is "fifty-four million, three hundred eighty-five thousand, nine hundred sixty-eight".