9931896000 has 784 divisors, whose sum is σ = 40017545568. Its totient is φ = 2426112000.

The previous prime is 9931895947. The next prime is 9931896031. The reversal of 9931896000 is 6981399.

9931896000 is a `hidden beast` number, since 9 + 9 + 31 + 8 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 75815935 + ... + 75816065.

Almost surely, 2^9931896000 is an apocalyptic number.

9931896000 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 9931896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20008772784).

9931896000 is an abundant number, since it is smaller than the sum of its proper divisors (30085649568).

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

9931896000 is a wasteful number, since it uses less digits than its factorization.

9931896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 9931896000 is about 99658.8982479738. The cubic root of 9931896000 is about 2149.5326909368.

The spelling of 9931896000 in words is "nine billion, nine hundred thirty-one million, eight hundred ninety-six thousand".