9905280 has 256 divisors, whose sum is σ = 39951360. Its totient is φ = 2027520.

The previous prime is 9905267. The next prime is 9905293. The reversal of 9905280 is 825099.

It is an interprime number because it is at equal distance from previous prime (9905267) and next prime (9905293).

It is a super-2 number, since 2×9905280² = 196229143756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147807 + ... + 147873.

It is an arithmetic number, because the mean of its divisors is an integer number (156060).

Almost surely, 2^9905280 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 9905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).

9905280 is an abundant number, since it is smaller than the sum of its proper divisors (30046080).

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

9905280 is a wasteful number, since it uses less digits than its factorization.

9905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

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

The square root of 9905280 is about 3147.2654797459. The cubic root of 9905280 is about 214.7610830806.

The spelling of 9905280 in words is "nine million, nine hundred five thousand, two hundred eighty".