54952568 has 64 divisors (see below), whose sum is σ = 120463200. Its totient is φ = 23224320.

The previous prime is 54952561. The next prime is 54952577. The reversal of 54952568 is 86525945.

It is a Cunningham number, because it is equal to 7413²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (432000) is a multiple of the sum of its prime factors (480).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162896 + ... + 163232.

Almost surely, 2^54952568 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 54952568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60231600).

54952568 is an abundant number, since it is smaller than the sum of its proper divisors (65510632).

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

54952568 is a wasteful number, since it uses less digits than its factorization.

54952568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its digits is 432000, while the sum is 44.

The square root of 54952568 is about 7412.9999325509. Note that the first 4 decimals coincide. The cubic root of 54952568 is about 380.1858924278.

The spelling of 54952568 in words is "fifty-four million, nine hundred fifty-two thousand, five hundred sixty-eight".