54078816 has 96 divisors (see below), whose sum is σ = 156981888. Its totient is φ = 16163840.

The previous prime is 54078797. The next prime is 54078833. The reversal of 54078816 is 61887045.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87340 + ... + 87956.

It is an arithmetic number, because the mean of its divisors is an integer number (1635228).

Almost surely, 2^54078816 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 54078816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78490944).

54078816 is an abundant number, since it is smaller than the sum of its proper divisors (102903072).

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

54078816 is a wasteful number, since it uses less digits than its factorization.

54078816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 54078816 is about 7353.8300225121. The cubic root of 54078816 is about 378.1601180506.

The spelling of 54078816 in words is "fifty-four million, seventy-eight thousand, eight hundred sixteen".