54921984 has 72 divisors (see below), whose sum is σ = 157445232. Its totient is φ = 16896000.

The previous prime is 54921983. The next prime is 54922003. The reversal of 54921984 is 48912945.

It is not an unprimeable number, because it can be changed into a prime (54921983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7234 + ... + 12734.

Almost surely, 2^54921984 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 54921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78722616).

54921984 is an abundant number, since it is smaller than the sum of its proper divisors (102523248).

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

54921984 is a wasteful number, since it uses less digits than its factorization.

54921984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5519 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 54921984 is about 7410.9367828905. The cubic root of 54921984 is about 380.1153481776.

It can be divided in two parts, 54 and 921984, that multiplied together give a 4-th power (49787136 = 84⁴).

The spelling of 54921984 in words is "fifty-four million, nine hundred twenty-one thousand, nine hundred eighty-four".