63509040 has 120 divisors (see below), whose sum is σ = 243773088. Its totient is φ = 14515200.

The previous prime is 63509029. The next prime is 63509053. The reversal of 63509040 is 4090536.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 63508995 and 63509013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261 + ... + 11340.

Almost surely, 2^63509040 is an apocalyptic number.

63509040 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 63509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121886544).

63509040 is an abundant number, since it is smaller than the sum of its proper divisors (180264048).

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

63509040 is a wasteful number, since it uses less digits than its factorization.

63509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12627 (or 12618 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 63509040 is about 7969.2559251162. The cubic root of 63509040 is about 398.9745399926.

Adding to 63509040 its reverse (4090536), we get a palindrome (67599576).

The spelling of 63509040 in words is "sixty-three million, five hundred nine thousand, forty".