54893664 has 144 divisors (see below), whose sum is σ = 181333152. Its totient is φ = 15427584.

The previous prime is 54893651. The next prime is 54893693. The reversal of 54893664 is 46639845.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 146982 + ... + 147354.

It is an arithmetic number, because the mean of its divisors is an integer number (1259258).

Almost surely, 2^54893664 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 54893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90666576).

54893664 is an abundant number, since it is smaller than the sum of its proper divisors (126439488).

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

54893664 is a wasteful number, since it uses less digits than its factorization.

54893664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 54893664 is about 7409.0258468978. The cubic root of 54893664 is about 380.0500026537.

The spelling of 54893664 in words is "fifty-four million, eight hundred ninety-three thousand, six hundred sixty-four".