54115648 has 56 divisors (see below), whose sum is σ = 114117120. Its totient is φ = 25390080.

The previous prime is 54115643. The next prime is 54115651. The reversal of 54115648 is 84651145.

54115648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×54115648³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54115643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232140 + ... + 232372.

Almost surely, 2^54115648 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 54115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

54115648 is an abundant number, since it is smaller than the sum of its proper divisors (60001472).

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

54115648 is a wasteful number, since it uses less digits than its factorization.

54115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 54115648 is about 7356.3338695304. Note that the first 3 decimals coincide. The cubic root of 54115648 is about 378.2459509983.

The spelling of 54115648 in words is "fifty-four million, one hundred fifteen thousand, six hundred forty-eight".