54303984 has 120 divisors (see below), whose sum is σ = 183961440. Its totient is φ = 14598144.

The previous prime is 54303983. The next prime is 54304007. The reversal of 54303984 is 48930345.

54303984 = T₄₉₁ + T₄₉₂ + ... + T₇₆₂.

54303984 is a `hidden beast` number, since 543 + 0 + 39 + 84 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54303983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15552 + ... + 18720.

It is an arithmetic number, because the mean of its divisors is an integer number (1533012).

Almost surely, 2^54303984 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 54303984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91980720).

54303984 is an abundant number, since it is smaller than the sum of its proper divisors (129657456).

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

54303984 is a wasteful number, since it uses less digits than its factorization.

54303984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 54303984 is about 7369.1236928145. The cubic root of 54303984 is about 378.6842398003.

The spelling of 54303984 in words is "fifty-four million, three hundred three thousand, nine hundred eighty-four".