63257568 has 96 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 18639360.

The previous prime is 63257533. The next prime is 63257569. The reversal of 63257568 is 86575236.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (302400) is a multiple of the sum of its prime factors (1680).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63257569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38263 + ... + 39881.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 2^63257568 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 63257568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720).

63257568 is an abundant number, since it is smaller than the sum of its proper divisors (122899872).

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

63257568 is a wasteful number, since it uses less digits than its factorization.

63257568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 63257568 is about 7953.4626421452. The cubic root of 63257568 is about 398.4472468604.

The spelling of 63257568 in words is "sixty-three million, two hundred fifty-seven thousand, five hundred sixty-eight".