63319400 has 72 divisors (see below), whose sum is σ = 155550870. Its totient is φ = 23967360.

The previous prime is 63319393. The next prime is 63319409. The reversal of 63319400 is 491336.

63319400 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 3 ways, for example, as 56040196 + 7279204 = 7486^2 + 2698^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 63319400.

It is not an unprimeable number, because it can be changed into a prime (63319409) 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 17 ways as a sum of consecutive naturals, for example, 71762 + ... + 72638.

Almost surely, 2^63319400 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 63319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77775435).

63319400 is an abundant number, since it is smaller than the sum of its proper divisors (92231470).

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

63319400 is a wasteful number, since it uses less digits than its factorization.

63319400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 63319400 is about 7957.3488047213. The cubic root of 63319400 is about 398.5770272071.

The spelling of 63319400 in words is "sixty-three million, three hundred nineteen thousand, four hundred".