63057960 has 256 divisors, whose sum is σ = 253440000. Its totient is φ = 13623552.

The previous prime is 63057931. The next prime is 63057971. The reversal of 63057960 is 6975036.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 63057960 = 186³ + 384³ = 298³ + 332³.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143421 + ... + 143859.

It is an arithmetic number, because the mean of its divisors is an integer number (990000).

Almost surely, 2^63057960 is an apocalyptic number.

63057960 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 63057960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126720000).

63057960 is an abundant number, since it is smaller than the sum of its proper divisors (190382040).

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

63057960 is a wasteful number, since it uses less digits than its factorization.

63057960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 63057960 is about 7940.9042306276. The cubic root of 63057960 is about 398.0277078090.

The spelling of 63057960 in words is "sixty-three million, fifty-seven thousand, nine hundred sixty".