54989664 has 48 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 18227840.

The previous prime is 54989663. The next prime is 54989677. The reversal of 54989664 is 46698945.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54989663) 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, 16837 + ... + 19835.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^54989664 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 54989664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

54989664 is an abundant number, since it is smaller than the sum of its proper divisors (90162336).

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

54989664 is a wasteful number, since it uses less digits than its factorization.

54989664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3195 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 54989664 is about 7415.5016013753. The cubic root of 54989664 is about 380.2714219675.

The spelling of 54989664 in words is "fifty-four million, nine hundred eighty-nine thousand, six hundred sixty-four".