10002876 has 48 divisors (see below), whose sum is σ = 25829664. Its totient is φ = 2992896.

The previous prime is 10002871. The next prime is 10002887. The reversal of 10002876 is 67820001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002871) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4906 + ... + 6638.

It is an arithmetic number, because the mean of its divisors is an integer number (538118).

Almost surely, 2^10002876 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 10002876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12914832).

10002876 is an abundant number, since it is smaller than the sum of its proper divisors (15826788).

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

10002876 is a wasteful number, since it uses less digits than its factorization.

10002876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10002876 is about 3162.7323630051. The cubic root of 10002876 is about 215.4641208707.

Adding to 10002876 its reverse (67820001), we get a palindrome (77822877).

It can be divided in two parts, 10002 and 876, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10002876 in words is "ten million, two thousand, eight hundred seventy-six".