63145760 has 96 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 23546880.

The previous prime is 63145757. The next prime is 63145763. The reversal of 63145760 is 6754136.

It is an interprime number because it is at equal distance from previous prime (63145757) and next prime (63145763).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (63145763) 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 15 ways as a sum of consecutive naturals, for example, 143621 + ... + 144059.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^63145760 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 63145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

63145760 is an abundant number, since it is smaller than the sum of its proper divisors (96521440).

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

63145760 is a wasteful number, since it uses less digits than its factorization.

63145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 63145760 is about 7946.4306452646. The cubic root of 63145760 is about 398.2123560577.

Adding to 63145760 its reverse (6754136), we get a palindrome (69899896).

The spelling of 63145760 in words is "sixty-three million, one hundred forty-five thousand, seven hundred sixty".