63305640 has 96 divisors (see below), whose sum is σ = 210810600. Its totient is φ = 16465920.

The previous prime is 63305633. The next prime is 63305657. The reversal of 63305640 is 4650336.

It can be written as a sum of positive squares in 4 ways, for example, as 50041476 + 13264164 = 7074^2 + 3642^2 .

It is a congruent number.

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, 12616 + ... + 16904.

Almost surely, 2^63305640 is an apocalyptic number.

63305640 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 63305640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105405300).

63305640 is an abundant number, since it is smaller than the sum of its proper divisors (147504960).

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

63305640 is a wasteful number, since it uses less digits than its factorization.

63305640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 63305640 is about 7956.4841481649. The cubic root of 63305640 is about 398.5481533959.

Adding to 63305640 its reverse (4650336), we get a palindrome (67955976).

The spelling of 63305640 in words is "sixty-three million, three hundred five thousand, six hundred forty".