992943360 has 360 divisors, whose sum is σ = 3634178856. Its totient is φ = 258785280.

The previous prime is 992943353. The next prime is 992943379. The reversal of 992943360 is 63349299.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 985457664 = 2736^2 + 31392^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 6324402 + ... + 6324558.

Almost surely, 2^992943360 is an apocalyptic number.

992943360 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 992943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817089428).

992943360 is an abundant number, since it is smaller than the sum of its proper divisors (2641235496).

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

992943360 is a wasteful number, since it uses less digits than its factorization.

992943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 992943360 is about 31511.0037923263. The cubic root of 992943360 is about 997.6422319656.

The spelling of 992943360 in words is "nine hundred ninety-two million, nine hundred forty-three thousand, three hundred sixty".