63125760 has 144 divisors (see below), whose sum is σ = 213687936. Its totient is φ = 15826944.

The previous prime is 63125759. The next prime is 63125813. The reversal of 63125760 is 6752136.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 64797 + ... + 65763.

It is an arithmetic number, because the mean of its divisors is an integer number (1483944).

Almost surely, 2^63125760 is an apocalyptic number.

63125760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106843968).

63125760 is an abundant number, since it is smaller than the sum of its proper divisors (150562176).

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

63125760 is a wasteful number, since it uses less digits than its factorization.

63125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 63125760 is about 7945.1721189663. The cubic root of 63125760 is about 398.1703100143.

Adding to 63125760 its reverse (6752136), we get a palindrome (69877896).

The spelling of 63125760 in words is "sixty-three million, one hundred twenty-five thousand, seven hundred sixty".