9002868 has 72 divisors (see below), whose sum is σ = 24935904. Its totient is φ = 2520000.

The previous prime is 9002863. The next prime is 9002879. The reversal of 9002868 is 8682009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9002863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35743 + ... + 35993.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 2^9002868 is an apocalyptic number.

9002868 is a gapful number since it is divisible by the number (98) 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 9002868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467952).

9002868 is an abundant number, since it is smaller than the sum of its proper divisors (15933036).

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

9002868 is a wasteful number, since it uses less digits than its factorization.

9002868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 9002868 is about 3000.4779619254. The cubic root of 9002868 is about 208.0304750712.

It can be divided in two parts, 9002 and 868, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 9002868 in words is "nine million, two thousand, eight hundred sixty-eight".