54548640 has 288 divisors, whose sum is σ = 204736896. Its totient is φ = 13685760.

The previous prime is 54548633. The next prime is 54548647. The reversal of 54548640 is 4684545.

54548640 is a `hidden beast` number, since 5 + 4 + 5 + 4 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (54548633) and next prime (54548647).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54548595 and 54548604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54548647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894210 + ... + 894270.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^54548640 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 54548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

54548640 is an abundant number, since it is smaller than the sum of its proper divisors (150188256).

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

54548640 is a wasteful number, since it uses less digits than its factorization.

54548640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 54548640 is about 7385.7051119037. The cubic root of 54548640 is about 379.2520838569.

The spelling of 54548640 in words is "fifty-four million, five hundred forty-eight thousand, six hundred forty".