9875880 has 96 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 2256768.

The previous prime is 9875821. The next prime is 9875893. The reversal of 9875880 is 885789.

9875880 = T₁₁₃ + T₁₁₄ + ... + T₃₉₂.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561 + ... + 4479.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^9875880 is an apocalyptic number.

9875880 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 9875880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

9875880 is an abundant number, since it is smaller than the sum of its proper divisors (26815320).

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

9875880 is a wasteful number, since it uses less digits than its factorization.

9875880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 9875880 is about 3142.5912874569. The cubic root of 9875880 is about 214.5483940558.

The spelling of 9875880 in words is "nine million, eight hundred seventy-five thousand, eight hundred eighty".