9902880 has 216 divisors, whose sum is σ = 38044188. Its totient is φ = 2331648.

The previous prime is 9902873. The next prime is 9902881. The reversal of 9902880 is 882099.

It can be written as a sum of positive squares in 2 ways, for example, as 9217296 + 685584 = 3036^2 + 828^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9902881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430549 + ... + 430571.

Almost surely, 2^9902880 is an apocalyptic number.

9902880 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 9902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19022094).

9902880 is an abundant number, since it is smaller than the sum of its proper divisors (28141308).

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

9902880 is a wasteful number, since it uses less digits than its factorization.

9902880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9902880 is about 3146.8841732736. The cubic root of 9902880 is about 214.7437364993.

The spelling of 9902880 in words is "nine million, nine hundred two thousand, eight hundred eighty".