54387216 has 120 divisors (see below), whose sum is σ = 173660760. Its totient is φ = 15740928.

The previous prime is 54387191. The next prime is 54387259. The reversal of 54387216 is 61278345.

54387216 is a `hidden beast` number, since 5 + 438 + 7 + 216 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 52707600 = 1296^2 + 7260^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30970 + ... + 32678.

It is an arithmetic number, because the mean of its divisors is an integer number (1447173).

Almost surely, 2^54387216 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 54387216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

54387216 is an abundant number, since it is smaller than the sum of its proper divisors (119273544).

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

54387216 is a wasteful number, since it uses less digits than its factorization.

54387216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1744 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 54387216 is about 7374.7688777344. The cubic root of 54387216 is about 378.8776114776.

The spelling of 54387216 in words is "fifty-four million, three hundred eighty-seven thousand, two hundred sixteen".