54661664 has 48 divisors (see below), whose sum is σ = 115327800. Its totient is φ = 25411584.

The previous prime is 54661631. The next prime is 54661667. The reversal of 54661664 is 46616645.

It can be written as a sum of positive squares in 4 ways, for example, as 34339600 + 20322064 = 5860^2 + 4508^2 .

It is a super-2 number, since 2×54661664² = 5975795022497792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54661667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47852 + ... + 48980.

Almost surely, 2^54661664 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 54661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57663900).

54661664 is an abundant number, since it is smaller than the sum of its proper divisors (60666136).

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

54661664 is a wasteful number, since it uses less digits than its factorization.

54661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 54661664 is about 7393.3526900859. The cubic root of 54661664 is about 379.5138381165.

The spelling of 54661664 in words is "fifty-four million, six hundred sixty-one thousand, six hundred sixty-four".