54038016 has 100 divisors (see below), whose sum is σ = 161413032. Its totient is φ = 17998848.

The previous prime is 54038003. The next prime is 54038051. The reversal of 54038016 is 61083045.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40821 + ... + 42123.

Almost surely, 2^54038016 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 54038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80706516).

54038016 is an abundant number, since it is smaller than the sum of its proper divisors (107375016).

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

54038016 is an equidigital number, since it uses as much as digits as its factorization.

54038016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54038016 is about 7351.0554344257. The cubic root of 54038016 is about 378.0649926039.

The spelling of 54038016 in words is "fifty-four million, thirty-eight thousand, sixteen".