54984564 has 18 divisors (see below), whose sum is σ = 138988850. Its totient is φ = 18328176.

The previous prime is 54984563. The next prime is 54984571. The reversal of 54984564 is 46548945.

54984564 is a `hidden beast` number, since 5 + 4 + 9 + 84 + 564 = 666.

54984564 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 47032164 + 7952400 = 6858^2 + 2820^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54984563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 763639 + ... + 763710.

Almost surely, 2^54984564 is an apocalyptic number.

It is an amenable number.

54984564 is an abundant number, since it is smaller than the sum of its proper divisors (84004286).

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

54984564 is a wasteful number, since it uses less digits than its factorization.

54984564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527359 (or 1527354 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 54984564 is about 7415.1577191588. The cubic root of 54984564 is about 380.2596655508.

The spelling of 54984564 in words is "fifty-four million, nine hundred eighty-four thousand, five hundred sixty-four".