54713984 has 64 divisors (see below), whose sum is σ = 118752480. Its totient is φ = 24960000.

The previous prime is 54713983. The next prime is 54713999. The reversal of 54713984 is 48931745.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (54713983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217859 + ... + 218109.

Almost surely, 2^54713984 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 54713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59376240).

54713984 is an abundant number, since it is smaller than the sum of its proper divisors (64038496).

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

54713984 is a wasteful number, since it uses less digits than its factorization.

54713984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 54713984 is about 7396.8901573567. The cubic root of 54713984 is about 379.6348847559.

The spelling of 54713984 in words is "fifty-four million, seven hundred thirteen thousand, nine hundred eighty-four".