53671968 has 144 divisors (see below), whose sum is σ = 177166080. Its totient is φ = 15095808.

The previous prime is 53671967. The next prime is 53671997. The reversal of 53671968 is 86917635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (53671967) 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 23 ways as a sum of consecutive naturals, for example, 159096 + ... + 159432.

It is an arithmetic number, because the mean of its divisors is an integer number (1230320).

Almost surely, 2^53671968 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 53671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88583040).

53671968 is an abundant number, since it is smaller than the sum of its proper divisors (123494112).

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

53671968 is a wasteful number, since it uses less digits than its factorization.

53671968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 53671968 is about 7326.1154782053. The cubic root of 53671968 is about 377.2093999075.

The spelling of 53671968 in words is "fifty-three million, six hundred seventy-one thousand, nine hundred sixty-eight".