54019648 has 56 divisors (see below), whose sum is σ = 110834424. Its totient is φ = 26112000.

The previous prime is 54019627. The next prime is 54019649. The reversal of 54019648 is 84691045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9290304 + 44729344 = 3048^2 + 6688^2 .

It is not an unprimeable number, because it can be changed into a prime (54019649) 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, 394236 + ... + 394372.

Almost surely, 2^54019648 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 54019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55417212).

54019648 is an abundant number, since it is smaller than the sum of its proper divisors (56814776).

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

54019648 is a wasteful number, since it uses less digits than its factorization.

54019648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 54019648 is about 7349.8059838339. The cubic root of 54019648 is about 378.0221518703.

The spelling of 54019648 in words is "fifty-four million, nineteen thousand, six hundred forty-eight".