54711648 has 72 divisors (see below), whose sum is σ = 156383136. Its totient is φ = 18144000.

The previous prime is 54711647. The next prime is 54711649. The reversal of 54711648 is 84611745.

It is a happy number.

54711648 is a `hidden beast` number, since 5 + 4 + 7 + 1 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (54711647) and next prime (54711649).

It is a tau number, because it is divible by the number of its divisors (72).

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 (54711647) 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 11 ways as a sum of consecutive naturals, for example, 77698 + ... + 78398.

It is an arithmetic number, because the mean of its divisors is an integer number (2171988).

Almost surely, 2^54711648 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 54711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78191568).

54711648 is an abundant number, since it is smaller than the sum of its proper divisors (101671488).

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

54711648 is a wasteful number, since it uses less digits than its factorization.

54711648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 54711648 is about 7396.7322514743. The cubic root of 54711648 is about 379.6294818732.

The spelling of 54711648 in words is "fifty-four million, seven hundred eleven thousand, six hundred forty-eight".