9992900160 has 336 divisors, whose sum is σ = 36066715776. Its totient is φ = 2534670336.

The previous prime is 9992900143. The next prime is 9992900173. The reversal of 9992900160 is 610092999.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17023387 + ... + 17023973.

It is an arithmetic number, because the mean of its divisors is an integer number (107341416).

Almost surely, 2^9992900160 is an apocalyptic number.

9992900160 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 9992900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18033357888).

9992900160 is an abundant number, since it is smaller than the sum of its proper divisors (26073815616).

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

9992900160 is a wasteful number, since it uses less digits than its factorization.

9992900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 9992900160 is about 99964.4944967962. The cubic root of 9992900160 is about 2153.9246979311.

The spelling of 9992900160 in words is "nine billion, nine hundred ninety-two million, nine hundred thousand, one hundred sixty".