53605968 has 80 divisors (see below), whose sum is σ = 150157056. Its totient is φ = 16381440.

The previous prime is 53605967. The next prime is 53605969. The reversal of 53605968 is 86950635.

53605968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53605967) and next prime (53605969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53605961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168946 + ... + 169262.

Almost surely, 2^53605968 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 53605968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75078528).

53605968 is an abundant number, since it is smaller than the sum of its proper divisors (96551088).

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

53605968 is a wasteful number, since it uses less digits than its factorization.

53605968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 53605968 is about 7321.6096590845. The cubic root of 53605968 is about 377.0547193357.

The spelling of 53605968 in words is "fifty-three million, six hundred five thousand, nine hundred sixty-eight".