992746000 has 80 divisors (see below), whose sum is σ = 2423416320. Its totient is φ = 393302400.

The previous prime is 992745983. The next prime is 992746039. The reversal of 992746000 is 647299.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211681 + ... + 216319.

It is an arithmetic number, because the mean of its divisors is an integer number (30292704).

Almost surely, 2^992746000 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 992746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211708160).

992746000 is an abundant number, since it is smaller than the sum of its proper divisors (1430670320).

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

992746000 is a wasteful number, since it uses less digits than its factorization.

992746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 992746000 is about 31507.8720322398. The cubic root of 992746000 is about 997.5761295991.

The spelling of 992746000 in words is "nine hundred ninety-two million, seven hundred forty-six thousand".