9706900224 has 288 divisors, whose sum is σ = 30921762816. Its totient is φ = 2645360640.

The previous prime is 9706900211. The next prime is 9706900241. The reversal of 9706900224 is 4220096079.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10359084 + ... + 10360020.

It is an arithmetic number, because the mean of its divisors is an integer number (107367232).

Almost surely, 2^9706900224 is an apocalyptic number.

9706900224 is a gapful number since it is divisible by the number (94) 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 9706900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460881408).

9706900224 is an abundant number, since it is smaller than the sum of its proper divisors (21214862592).

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

9706900224 is a wasteful number, since it uses less digits than its factorization.

9706900224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 9706900224 is about 98523.6023701935. The cubic root of 9706900224 is about 2133.1768169894.

The spelling of 9706900224 in words is "nine billion, seven hundred six million, nine hundred thousand, two hundred twenty-four".