54329968 has 120 divisors (see below), whose sum is σ = 139852160. Its totient is φ = 19958400.

The previous prime is 54329939. The next prime is 54329969. The reversal of 54329968 is 86992345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54329969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257383 + ... + 257593.

Almost surely, 2^54329968 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 54329968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69926080).

54329968 is an abundant number, since it is smaller than the sum of its proper divisors (85522192).

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

54329968 is a wasteful number, since it uses less digits than its factorization.

54329968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 54329968 is about 7370.8865138462. The cubic root of 54329968 is about 378.7446292449.

It can be divided in two parts, 5432 and 9968, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 54329968 in words is "fifty-four million, three hundred twenty-nine thousand, nine hundred sixty-eight".