9872456 has 32 divisors (see below), whose sum is σ = 20671200. Its totient is φ = 4381440.

The previous prime is 9872449. The next prime is 9872501. The reversal of 9872456 is 6542789.

9872456 = T₄₂₉ + T₄₃₀ + ... + T₅₁₆.

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, 2480 + ... + 5088.

It is an arithmetic number, because the mean of its divisors is an integer number (645975).

Almost surely, 2^9872456 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 9872456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10335600).

9872456 is an abundant number, since it is smaller than the sum of its proper divisors (10798744).

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

9872456 is a wasteful number, since it uses less digits than its factorization.

9872456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2665 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 9872456 is about 3142.0464668747. The cubic root of 9872456 is about 214.5235963124.

It can be divided in two parts, 987 and 2456, that added together give a palindrome (3443).

The spelling of 9872456 in words is "nine million, eight hundred seventy-two thousand, four hundred fifty-six".