638067600 has 135 divisors (see below), whose sum is σ = 2219543859. Its totient is φ = 169747200.

The previous prime is 638067589. The next prime is 638067607. The reversal of 638067600 is 6760836.

It is a happy number.

The square root of 638067600 is 25260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 365421456 + 272646144 = 19116^2 + 16512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (638067607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1515390 + ... + 1515810.

Almost surely, 2^638067600 is an apocalyptic number.

638067600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

638067600 is the 25260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638067600

638067600 is an abundant number, since it is smaller than the sum of its proper divisors (1581476259).

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

638067600 is a wasteful number, since it uses less digits than its factorization.

638067600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 638067600 is about 860.9056621055.

Multiplying 638067600 by its sum of digits (36), we get a square (22970433600 = 151560²).

638067600 divided by its sum of digits (36) gives a square (17724100 = 4210²).

The spelling of 638067600 in words is "six hundred thirty-eight million, sixty-seven thousand, six hundred".