992609280 has 264 divisors, whose sum is σ = 3706167192. Its totient is φ = 244187136.

The previous prime is 992609273. The next prime is 992609287. The reversal of 992609280 is 82906299.

It is an interprime number because it is at equal distance from previous prime (992609273) and next prime (992609287).

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 991494144 = 1056^2 + 31488^2 .

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

It is not an unprimeable number, because it can be changed into a prime (992609287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598212 + ... + 599868.

Almost surely, 2^992609280 is an apocalyptic number.

992609280 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 992609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853083596).

992609280 is an abundant number, since it is smaller than the sum of its proper divisors (2713557912).

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

992609280 is a wasteful number, since it uses less digits than its factorization.

992609280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 992609280 is about 31505.7023410049. The cubic root of 992609280 is about 997.5303324298.

The spelling of 992609280 in words is "nine hundred ninety-two million, six hundred nine thousand, two hundred eighty".