54952560 has 320 divisors, whose sum is σ = 216652800. Its totient is φ = 12690432.

The previous prime is 54952531. The next prime is 54952561. The reversal of 54952560 is 6525945.

54952560 is a `hidden beast` number, since 5 + 4 + 95 + 2 + 560 = 666.

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 (54952561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533469 + ... + 533571.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^54952560 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 54952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108326400).

54952560 is an abundant number, since it is smaller than the sum of its proper divisors (161700240).

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

54952560 is a wasteful number, since it uses less digits than its factorization.

54952560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 54952560 is about 7412.9993929583. Note that the first 3 decimals coincide. The cubic root of 54952560 is about 380.1858739787.

The spelling of 54952560 in words is "fifty-four million, nine hundred fifty-two thousand, five hundred sixty".