63393440 has 96 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 22809600.

The previous prime is 63393439. The next prime is 63393461. The reversal of 63393440 is 4439336.

It is a happy number.

63393440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 63393397 and 63393406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318461 + ... + 318659.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^63393440 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 63393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

63393440 is an abundant number, since it is smaller than the sum of its proper divisors (101716960).

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

63393440 is a wasteful number, since it uses less digits than its factorization.

63393440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 63393440 is about 7961.9997488068. Note that the first 3 decimals coincide. The cubic root of 63393440 is about 398.7323200463.

63393440 divided by its sum of digits (32) gives a triangular number (1981045 = T₁₉₉₀).

It can be divided in two parts, 6339 and 3440, that added together give a palindrome (9779).

The spelling of 63393440 in words is "sixty-three million, three hundred ninety-three thousand, four hundred forty".