53957568 has 112 divisors (see below), whose sum is σ = 171825920. Its totient is φ = 14598144.

The previous prime is 53957539. The next prime is 53957569. The reversal of 53957568 is 86575935.

53957568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×53957568² = 5822838288949248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53957569) 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, 24480 + ... + 26592.

It is an arithmetic number, because the mean of its divisors is an integer number (1534160).

Almost surely, 2^53957568 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 53957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85912960).

53957568 is an abundant number, since it is smaller than the sum of its proper divisors (117868352).

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

53957568 is a wasteful number, since it uses less digits than its factorization.

53957568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2144 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The square root of 53957568 is about 7345.5815290554. The cubic root of 53957568 is about 377.8772872297.

The spelling of 53957568 in words is "fifty-three million, nine hundred fifty-seven thousand, five hundred sixty-eight".