63261680 has 40 divisors (see below), whose sum is σ = 148167600. Its totient is φ = 25118208.

The previous prime is 63261637. The next prime is 63261689. The reversal of 63261680 is 8616236.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63261689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8276 + ... + 13964.

It is an arithmetic number, because the mean of its divisors is an integer number (3704190).

Almost surely, 2^63261680 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 63261680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74083800).

63261680 is an abundant number, since it is smaller than the sum of its proper divisors (84905920).

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

63261680 is a wasteful number, since it uses less digits than its factorization.

63261680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 63261680 is about 7953.7211417047. The cubic root of 63261680 is about 398.4558802389.

The spelling of 63261680 in words is "sixty-three million, two hundred sixty-one thousand, six hundred eighty".