992191200 has 864 divisors, whose sum is σ = 4488462720. Its totient is φ = 187084800.

The previous prime is 992191171. The next prime is 992191201. The reversal of 992191200 is 2191299.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992191201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16816771 + ... + 16816829.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^992191200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244231360).

992191200 is an abundant number, since it is smaller than the sum of its proper divisors (3496271520).

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

992191200 is a wasteful number, since it uses less digits than its factorization.

992191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 992191200 is about 31499.0666528391. The cubic root of 992191200 is about 997.3902618582.

The spelling of 992191200 in words is "nine hundred ninety-two million, one hundred ninety-one thousand, two hundred".