9822960 has 120 divisors (see below), whose sum is σ = 37720800. Its totient is φ = 2244096.

The previous prime is 9822949. The next prime is 9822961. The reversal of 9822960 is 692289.

9822960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9822961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4066 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (314340).

Almost surely, 2^9822960 is an apocalyptic number.

9822960 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 9822960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18860400).

9822960 is an abundant number, since it is smaller than the sum of its proper divisors (27897840).

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

9822960 is a wasteful number, since it uses less digits than its factorization.

9822960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9822960 is about 3134.1601745922. The cubic root of 9822960 is about 214.1644876225.

It can be divided in two parts, 98229 and 60, that added together give a palindrome (98289).

The spelling of 9822960 in words is "nine million, eight hundred twenty-two thousand, nine hundred sixty".