63795660 has 96 divisors (see below), whose sum is σ = 185687040. Its totient is φ = 16353792.

The previous prime is 63795643. The next prime is 63795661. The reversal of 63795660 is 6659736.

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

It is not an unprimeable number, because it can be changed into a prime (63795661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203664 + ... + 203976.

It is an arithmetic number, because the mean of its divisors is an integer number (1934240).

Almost surely, 2^63795660 is an apocalyptic number.

63795660 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 63795660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92843520).

63795660 is an abundant number, since it is smaller than the sum of its proper divisors (121891380).

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

63795660 is a wasteful number, since it uses less digits than its factorization.

63795660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 63795660 is about 7987.2185396419. The cubic root of 63795660 is about 399.5738377923.

The spelling of 63795660 in words is "sixty-three million, seven hundred ninety-five thousand, six hundred sixty".