54864216 has 160 divisors (see below), whose sum is σ = 172497600. Its totient is φ = 16148160.

The previous prime is 54864211. The next prime is 54864217. The reversal of 54864216 is 61246845.

54864216 is a `hidden beast` number, since 5 + 4 + 8 + 642 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54864211) 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 39 ways as a sum of consecutive naturals, for example, 306415 + ... + 306593.

It is an arithmetic number, because the mean of its divisors is an integer number (1078110).

Almost surely, 2^54864216 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 54864216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86248800).

54864216 is an abundant number, since it is smaller than the sum of its proper divisors (117633384).

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

54864216 is a wasteful number, since it uses less digits than its factorization.

54864216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 54864216 is about 7407.0382745062. The cubic root of 54864216 is about 379.9820305445.

The spelling of 54864216 in words is "fifty-four million, eight hundred sixty-four thousand, two hundred sixteen".