54952768 has 42 divisors (see below), whose sum is σ = 117893846. Its totient is φ = 25264128.

The previous prime is 54952763. The next prime is 54952771. The reversal of 54952768 is 86725945.

It can be written as a sum of positive squares in 3 ways, for example, as 31449664 + 23503104 = 5608^2 + 4848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54952763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213696 + ... + 213952.

Almost surely, 2^54952768 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 54952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58946923).

54952768 is an abundant number, since it is smaller than the sum of its proper divisors (62941078).

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

54952768 is an equidigital number, since it uses as much as digits as its factorization.

54952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 272 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 54952768 is about 7413.0134223540. The cubic root of 54952768 is about 380.1863536564.

The spelling of 54952768 in words is "fifty-four million, nine hundred fifty-two thousand, seven hundred sixty-eight".