638680224 has 192 divisors, whose sum is σ = 2135427840. Its totient is φ = 162570240.

The previous prime is 638680223. The next prime is 638680241. The reversal of 638680224 is 422086836.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (638680223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252084 + ... + 254604.

It is an arithmetic number, because the mean of its divisors is an integer number (11122020).

Almost surely, 2^638680224 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 638680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067713920).

638680224 is an abundant number, since it is smaller than the sum of its proper divisors (1496747616).

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

638680224 is a wasteful number, since it uses less digits than its factorization.

638680224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 638680224 is about 25272.1234564886. The cubic root of 638680224 is about 861.1810993616.

The spelling of 638680224 in words is "six hundred thirty-eight million, six hundred eighty thousand, two hundred twenty-four".