53952768 has 54 divisors (see below), whose sum is σ = 155565774. Its totient is φ = 17983488.

The previous prime is 53952763. The next prime is 53952791. The reversal of 53952768 is 86725935.

It is a happy number.

53952768 is a `hidden beast` number, since 539 + 52 + 7 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44515584 + 9437184 = 6672^2 + 3072^2 .

It is not an unprimeable number, because it can be changed into a prime (53952763) 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, 9405 + ... + 14012.

Almost surely, 2^53952768 is an apocalyptic number.

It is an amenable number.

53952768 is an abundant number, since it is smaller than the sum of its proper divisors (101613006).

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

53952768 is a wasteful number, since it uses less digits than its factorization.

53952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23439 (or 23422 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 53952768 is about 7345.2547947638. The cubic root of 53952768 is about 377.8660817286.

The spelling of 53952768 in words is "fifty-three million, nine hundred fifty-two thousand, seven hundred sixty-eight".