9812880 has 320 divisors, whose sum is σ = 42854400. Its totient is φ = 2004480.

The previous prime is 9812867. The next prime is 9812903. The reversal of 9812880 is 882189.

9812880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9812880² = 192585227788800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166291 + ... + 166349.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^9812880 is an apocalyptic number.

9812880 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 9812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

9812880 is an abundant number, since it is smaller than the sum of its proper divisors (33041520).

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

9812880 is a wasteful number, since it uses less digits than its factorization.

9812880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 9812880 is about 3132.5516755514. The cubic root of 9812880 is about 214.0912063550.

The spelling of 9812880 in words is "nine million, eight hundred twelve thousand, eight hundred eighty".