9638880 has 96 divisors (see below), whose sum is σ = 31135104. Its totient is φ = 2505216.

The previous prime is 9638857. The next prime is 9638891. The reversal of 9638880 is 888369.

9638880 = T₁₀₁ + T₁₀₂ + ... + T₃₈₈.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20407 + ... + 20873.

It is an arithmetic number, because the mean of its divisors is an integer number (324324).

Almost surely, 2^9638880 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 9638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552).

9638880 is an abundant number, since it is smaller than the sum of its proper divisors (21496224).

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

9638880 is a wasteful number, since it uses less digits than its factorization.

9638880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 9638880 is about 3104.6545701575. The cubic root of 9638880 is about 212.8182451803.

The spelling of 9638880 in words is "nine million, six hundred thirty-eight thousand, eight hundred eighty".