63613560 has 64 divisors (see below), whose sum is σ = 194918400. Its totient is φ = 16601216.

The previous prime is 63613547. The next prime is 63613567. The reversal of 63613560 is 6531636.

63613560 is a nontrivial binomial coefficient, being equal to C(11280, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63613567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 11279.

It is an arithmetic number, because the mean of its divisors is an integer number (3045600).

Almost surely, 2^63613560 is an apocalyptic number.

63613560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63613560 is the 11279-th triangular number and also the 5640-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63613560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97459200).

63613560 is an abundant number, since it is smaller than the sum of its proper divisors (131304840).

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

63613560 is a wasteful number, since it uses less digits than its factorization.

63613560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11340 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 63613560 is about 7975.8109305575. The cubic root of 63613560 is about 399.1932908111.

It can be divided in two parts, 636 and 13560, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 63613560 in words is "sixty-three million, six hundred thirteen thousand, five hundred sixty".