9902580 has 48 divisors (see below), whose sum is σ = 27936384. Its totient is φ = 2620800.

The previous prime is 9902567. The next prime is 9902587. The reversal of 9902580 is 852099.

It is a super-2 number, since 2×9902580² = 196122181312800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9902587) 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 15 ways as a sum of consecutive naturals, for example, 8514 + ... + 9606.

It is an arithmetic number, because the mean of its divisors is an integer number (582008).

Almost surely, 2^9902580 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 9902580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968192).

9902580 is an abundant number, since it is smaller than the sum of its proper divisors (18033804).

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

9902580 is a wasteful number, since it uses less digits than its factorization.

9902580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 9902580 is about 3146.8365067159. The cubic root of 9902580 is about 214.7415679796.

It can be divided in two parts, 990 and 2580, that added together give a triangular number (3570 = T₈₄).

The spelling of 9902580 in words is "nine million, nine hundred two thousand, five hundred eighty".