54321664 has 60 divisors (see below), whose sum is σ = 116394894. Its totient is φ = 25239552.

The previous prime is 54321643. The next prime is 54321677. The reversal of 54321664 is 46612345.

It can be written as a sum of positive squares in only one way, i.e., 39942400 + 14379264 = 6320^2 + 3792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 687577 + ... + 687655.

Almost surely, 2^54321664 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 54321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58197447).

54321664 is an abundant number, since it is smaller than the sum of its proper divisors (62073230).

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

54321664 is an frugal number, since it uses more digits than its factorization.

54321664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 98 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 54321664 is about 7370.3231950845. The cubic root of 54321664 is about 378.7253320027.

The spelling of 54321664 in words is "fifty-four million, three hundred twenty-one thousand, six hundred sixty-four".