53791968 has 96 divisors (see below), whose sum is σ = 147159936. Its totient is φ = 17192448.

The previous prime is 53791957. The next prime is 53792069. The reversal of 53791968 is 86919735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342546 + ... + 342702.

It is an arithmetic number, because the mean of its divisors is an integer number (1532916).

Almost surely, 2^53791968 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 53791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73579968).

53791968 is an abundant number, since it is smaller than the sum of its proper divisors (93367968).

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

53791968 is a wasteful number, since it uses less digits than its factorization.

53791968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 53791968 is about 7334.3007846693. The cubic root of 53791968 is about 377.4903127494.

It can be divided in two parts, 5 and 3791968, that added together give a palindrome (3791973).

The spelling of 53791968 in words is "fifty-three million, seven hundred ninety-one thousand, nine hundred sixty-eight".