54405664 has 48 divisors (see below), whose sum is σ = 115426080. Its totient is φ = 25159680.

The previous prime is 54405629. The next prime is 54405677. The reversal of 54405664 is 46650445.

It is an unprimeable number.

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, 25104 + ... + 27184.

It is an arithmetic number, because the mean of its divisors is an integer number (2404710).

Almost surely, 2^54405664 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 54405664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57713040).

54405664 is an abundant number, since it is smaller than the sum of its proper divisors (61020416).

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

54405664 is a wasteful number, since it uses less digits than its factorization.

54405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 54405664 is about 7376.0195227507. The cubic root of 54405664 is about 378.9204447300.

The spelling of 54405664 in words is "fifty-four million, four hundred five thousand, six hundred sixty-four".