54009216 has 96 divisors (see below), whose sum is σ = 156892320. Its totient is φ = 17832960.

The previous prime is 54009199. The next prime is 54009239. The reversal of 54009216 is 61290045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 54009216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199161 + ... + 199431.

It is an arithmetic number, because the mean of its divisors is an integer number (1634295).

Almost surely, 2^54009216 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 54009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78446160).

54009216 is an abundant number, since it is smaller than the sum of its proper divisors (102883104).

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

54009216 is a wasteful number, since it uses less digits than its factorization.

54009216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 54009216 is about 7349.0962709710. The cubic root of 54009216 is about 377.9978163979.

The spelling of 54009216 in words is "fifty-four million, nine thousand, two hundred sixteen".