54126384 has 80 divisors (see below), whose sum is σ = 151990272. Its totient is φ = 16498944.

The previous prime is 54126377. The next prime is 54126427. The reversal of 54126384 is 48362145.

It is a zygodrome in base 2.

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, 78907 + ... + 79589.

Almost surely, 2^54126384 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 54126384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75995136).

54126384 is an abundant number, since it is smaller than the sum of its proper divisors (97863888).

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

54126384 is a wasteful number, since it uses less digits than its factorization.

54126384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 54126384 is about 7357.0635446488. The cubic root of 54126384 is about 378.2709627411.

The spelling of 54126384 in words is "fifty-four million, one hundred twenty-six thousand, three hundred eighty-four".