63265680 has 60 divisors (see below), whose sum is σ = 212469660. Its totient is φ = 16870656.

The previous prime is 63265661. The next prime is 63265703. The reversal of 63265680 is 8656236.

63265680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 52533504 = 3276^2 + 7248^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 43215 + ... + 44654.

It is an arithmetic number, because the mean of its divisors is an integer number (3541161).

Almost surely, 2^63265680 is an apocalyptic number.

63265680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63265680 is an abundant number, since it is smaller than the sum of its proper divisors (149203980).

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

63265680 is a wasteful number, since it uses less digits than its factorization.

63265680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87888 (or 87879 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 63265680 is about 7953.9725923591. The cubic root of 63265680 is about 398.4642781080.

The spelling of 63265680 in words is "sixty-three million, two hundred sixty-five thousand, six hundred eighty".