63786240 has 324 divisors, whose sum is σ = 258997284. Its totient is φ = 14450688.

The previous prime is 63786223. The next prime is 63786269. The reversal of 63786240 is 4268736.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 54641664 = 3024^2 + 7392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63786195 and 63786204.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 564424 + ... + 564536.

Almost surely, 2^63786240 is an apocalyptic number.

63786240 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 63786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129498642).

63786240 is an abundant number, since it is smaller than the sum of its proper divisors (195211044).

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

63786240 is a wasteful number, since it uses less digits than its factorization.

63786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 63786240 is about 7986.6288257312. The cubic root of 63786240 is about 399.5541699402.

The spelling of 63786240 in words is "sixty-three million, seven hundred eighty-six thousand, two hundred forty".