9633872 has 40 divisors (see below), whose sum is σ = 19927296. Its totient is φ = 4501376.

The previous prime is 9633859. The next prime is 9633889. The reversal of 9633872 is 2783369.

It is a super-2 number, since 2×9633872² = 185622979424768, which contains 22 as substring.

It is a d-powerful number, because it can be written as 9⁵ + 6⁸ + 3⁵ + 3⁵ + 8⁵ + 7⁸ + 2²¹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17018 + ... + 17574.

Almost surely, 2^9633872 is an apocalyptic number.

9633872 is a gapful number since it is divisible by the number (92) 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 9633872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963648).

9633872 is an abundant number, since it is smaller than the sum of its proper divisors (10293424).

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

9633872 is a wasteful number, since it uses less digits than its factorization.

9633872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 9633872 is about 3103.8479344195. The cubic root of 9633872 is about 212.7813813397.

The spelling of 9633872 in words is "nine million, six hundred thirty-three thousand, eight hundred seventy-two".