9638280 has 96 divisors (see below), whose sum is σ = 32137560. Its totient is φ = 2503680.

The previous prime is 9638267. The next prime is 9638281. The reversal of 9638280 is 828369.

It can be written as a sum of positive squares in 4 ways, for example, as 3849444 + 5788836 = 1962^2 + 2406^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (9638281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14434 + ... + 15086.

Almost surely, 2^9638280 is an apocalyptic number.

9638280 is a gapful number since it is divisible by the number (90) 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 9638280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068780).

9638280 is an abundant number, since it is smaller than the sum of its proper divisors (22499280).

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

9638280 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 9638280 = (3289860)₁₂.

9638280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9638280 is about 3104.5579395463. The cubic root of 9638280 is about 212.8138292594.

The spelling of 9638280 in words is "nine million, six hundred thirty-eight thousand, two hundred eighty".