63726080 has 160 divisors (see below), whose sum is σ = 174417408. Its totient is φ = 22118400.

The previous prime is 63726073. The next prime is 63726083. The reversal of 63726080 is 8062736.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×63726080³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (63726083) 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, 872924 + ... + 872996.

Almost surely, 2^63726080 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 63726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87208704).

63726080 is an abundant number, since it is smaller than the sum of its proper divisors (110691328).

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

63726080 is a wasteful number, since it uses less digits than its factorization.

63726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 63726080 is about 7982.8616422934. The cubic root of 63726080 is about 399.4285172408.

The spelling of 63726080 in words is "sixty-three million, seven hundred twenty-six thousand, eighty".