54645968 has 40 divisors (see below), whose sum is σ = 116195688. Its totient is φ = 24740352.

The previous prime is 54645967. The next prime is 54645971. The reversal of 54645968 is 86954645.

It can be written as a sum of positive squares in 4 ways, for example, as 12759184 + 41886784 = 3572^2 + 6472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54645967) 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 7 ways as a sum of consecutive naturals, for example, 8546 + ... + 13502.

Almost surely, 2^54645968 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 54645968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58097844).

54645968 is an abundant number, since it is smaller than the sum of its proper divisors (61549720).

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

54645968 is a wasteful number, since it uses less digits than its factorization.

54645968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5025 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The square root of 54645968 is about 7392.2911198085. The cubic root of 54645968 is about 379.4775090635.

The spelling of 54645968 in words is "fifty-four million, six hundred forty-five thousand, nine hundred sixty-eight".