992745600 has 768 divisors, whose sum is σ = 4371148800. Its totient is φ = 191692800.

The previous prime is 992745599. The next prime is 992745613. The reversal of 992745600 is 6547299.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 12566361 + ... + 12566439.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^992745600 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 992745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185574400).

992745600 is an abundant number, since it is smaller than the sum of its proper divisors (3378403200).

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

992745600 is a wasteful number, since it uses less digits than its factorization.

992745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 992745600 is about 31507.8656846191. The cubic root of 992745600 is about 997.5759956171.

It can be divided in two parts, 992745 and 600, that added together give a triangular number (993345 = T₁₄₀₉).

The spelling of 992745600 in words is "nine hundred ninety-two million, seven hundred forty-five thousand, six hundred".