63131904 has 216 divisors, whose sum is σ = 206623872. Its totient is φ = 18370560.

The previous prime is 63131899. The next prime is 63131909. The reversal of 63131904 is 40913136.

It is an interprime number because it is at equal distance from previous prime (63131899) and next prime (63131909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63131909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191142 + ... + 1191194.

It is an arithmetic number, because the mean of its divisors is an integer number (956592).

Almost surely, 2^63131904 is an apocalyptic number.

63131904 is a gapful number since it is divisible by the number (64) 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 63131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103311936).

63131904 is an abundant number, since it is smaller than the sum of its proper divisors (143491968).

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

63131904 is a wasteful number, since it uses less digits than its factorization.

63131904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 63131904 is about 7945.5587594580. The cubic root of 63131904 is about 398.1832275037.

The spelling of 63131904 in words is "sixty-three million, one hundred thirty-one thousand, nine hundred four".