9822661200 has 360 divisors, whose sum is σ = 39376336896. Its totient is φ = 2241024000.

The previous prime is 9822661169. The next prime is 9822661201. The reversal of 9822661200 is 21662289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 (9822661201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 665905 + ... + 680495.

Almost surely, 2^9822661200 is an apocalyptic number.

9822661200 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 9822661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19688168448).

9822661200 is an abundant number, since it is smaller than the sum of its proper divisors (29553675696).

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

9822661200 is a wasteful number, since it uses less digits than its factorization.

9822661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14643 (or 14629 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9822661200 is about 99109.3396204414. The cubic root of 9822661200 is about 2141.6231607757.

The spelling of 9822661200 in words is "nine billion, eight hundred twenty-two million, six hundred sixty-one thousand, two hundred".