638604000 has 384 divisors, whose sum is σ = 2385452160. Its totient is φ = 167961600.

The previous prime is 638603951. The next prime is 638604007. The reversal of 638604000 is 406836.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638604007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8747964 + ... + 8748036.

It is an arithmetic number, because the mean of its divisors is an integer number (6212115).

Almost surely, 2^638604000 is an apocalyptic number.

638604000 is a gapful number since it is divisible by the number (60) 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 638604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192726080).

638604000 is an abundant number, since it is smaller than the sum of its proper divisors (1746848160).

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

638604000 is an frugal number, since it uses more digits than its factorization.

638604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 638604000 is about 25270.6153466828. The cubic root of 638604000 is about 861.1468384606.

The spelling of 638604000 in words is "six hundred thirty-eight million, six hundred four thousand".