63419040 has 72 divisors (see below), whose sum is σ = 216422388. Its totient is φ = 16911360.

The previous prime is 63419039. The next prime is 63419047. The reversal of 63419040 is 4091436.

63419040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 63297936 + 121104 = 7956^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 63418995 and 63419013.

It is not an unprimeable number, because it can be changed into a prime (63419047) 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 11 ways as a sum of consecutive naturals, for example, 20581 + ... + 23460.

Almost surely, 2^63419040 is an apocalyptic number.

63419040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63419040 is an abundant number, since it is smaller than the sum of its proper divisors (153003348).

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

63419040 is a wasteful number, since it uses less digits than its factorization.

63419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44062 (or 44051 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63419040 is about 7963.6072228608. The cubic root of 63419040 is about 398.7859858182.

The spelling of 63419040 in words is "sixty-three million, four hundred nineteen thousand, forty".