63368500 has 48 divisors (see below), whose sum is σ = 149058000. Its totient is φ = 23395200.

The previous prime is 63368483. The next prime is 63368521. The reversal of 63368500 is 586336.

It can be written as a sum of positive squares in 8 ways, for example, as 44809636 + 18558864 = 6694^2 + 4308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626 + ... + 11374.

It is an arithmetic number, because the mean of its divisors is an integer number (3105375).

Almost surely, 2^63368500 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 63368500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74529000).

63368500 is an abundant number, since it is smaller than the sum of its proper divisors (85689500).

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

63368500 is a wasteful number, since it uses less digits than its factorization.

63368500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 63368500 is about 7960.4334052864. The cubic root of 63368500 is about 398.6800239494.

The spelling of 63368500 in words is "sixty-three million, three hundred sixty-eight thousand, five hundred".