63507240 has 160 divisors (see below), whose sum is σ = 226207080. Its totient is φ = 15925248.

The previous prime is 63507167. The next prime is 63507263. The reversal of 63507240 is 4270536.

It is a happy number.

63507240 is a `hidden beast` number, since 635 + 0 + 7 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61873956 + 1633284 = 7866^2 + 1278^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54504 + ... + 55656.

Almost surely, 2^63507240 is an apocalyptic number.

63507240 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 63507240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113103540).

63507240 is an abundant number, since it is smaller than the sum of its proper divisors (162699840).

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

63507240 is a wasteful number, since it uses less digits than its factorization.

63507240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 63507240 is about 7969.1429903096. The cubic root of 63507240 is about 398.9707706555.

Adding to 63507240 its reverse (4270536), we get a palindrome (67777776).

The spelling of 63507240 in words is "sixty-three million, five hundred seven thousand, two hundred forty".