53275968 has 140 divisors (see below), whose sum is σ = 162275520. Its totient is φ = 17273088.

The previous prime is 53275919. The next prime is 53275969. The reversal of 53275968 is 86957235.

It is a happy number.

53275968 is a `hidden beast` number, since 53 + 2 + 7 + 596 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53275969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222793 + ... + 223031.

Almost surely, 2^53275968 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 53275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81137760).

53275968 is an abundant number, since it is smaller than the sum of its proper divisors (108999552).

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

53275968 is a wasteful number, since it uses less digits than its factorization.

53275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

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

The square root of 53275968 is about 7299.0388408338. The cubic root of 53275968 is about 376.2794060232.

The spelling of 53275968 in words is "fifty-three million, two hundred seventy-five thousand, nine hundred sixty-eight".