638677248 has 288 divisors, whose sum is σ = 2048578560. Its totient is φ = 174366720.

The previous prime is 638677241. The next prime is 638677279. The reversal of 638677248 is 842776836.

It is a super-2 number, since 2×638677248² = 815817254225707008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 638677248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638677241) 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, 3691690 + ... + 3691862.

It is an arithmetic number, because the mean of its divisors is an integer number (7113120).

Almost surely, 2^638677248 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 638677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024289280).

638677248 is an abundant number, since it is smaller than the sum of its proper divisors (1409901312).

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

638677248 is a wasteful number, since it uses less digits than its factorization.

638677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 638677248 is about 25272.0645773154. The cubic root of 638677248 is about 861.1797617705.

The spelling of 638677248 in words is "six hundred thirty-eight million, six hundred seventy-seven thousand, two hundred forty-eight".