9905897232 has 720 divisors, whose sum is σ = 38106132480. Its totient is φ = 2368396800.

The previous prime is 9905897189. The next prime is 9905897249. The reversal of 9905897232 is 2327985099.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55340119 + ... + 55340297.

It is an arithmetic number, because the mean of its divisors is an integer number (52925184).

Almost surely, 2^9905897232 is an apocalyptic number.

9905897232 is a gapful number since it is divisible by the number (92) 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 9905897232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053066240).

9905897232 is an abundant number, since it is smaller than the sum of its proper divisors (28200235248).

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

9905897232 is a wasteful number, since it uses less digits than its factorization.

9905897232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9905897232 is about 99528.3740046023. The cubic root of 9905897232 is about 2147.6554382139.

The spelling of 9905897232 in words is "nine billion, nine hundred five million, eight hundred ninety-seven thousand, two hundred thirty-two".