63949440 has 128 divisors (see below), whose sum is σ = 214689600. Its totient is φ = 16146432.

The previous prime is 63949399. The next prime is 63949441. The reversal of 63949440 is 4494936.

63949440 = 773² + 774² + ... + 867².

63949440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (63949441) by changing a digit.

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, 35604 + ... + 37356.

Almost surely, 2^63949440 is an apocalyptic number.

63949440 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 63949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107344800).

63949440 is an abundant number, since it is smaller than the sum of its proper divisors (150740160).

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

63949440 is a wasteful number, since it uses less digits than its factorization.

63949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 63949440 is about 7996.8393756534. The cubic root of 63949440 is about 399.8946389167.

The spelling of 63949440 in words is "sixty-three million, nine hundred forty-nine thousand, four hundred forty".