992554560 has 280 divisors, whose sum is σ = 3568217400. Its totient is φ = 261881856.

The previous prime is 992554529. The next prime is 992554561. The reversal of 992554560 is 65455299.

It is a happy number.

992554560 is a `hidden beast` number, since 9 + 92 + 554 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175509504 + 817045056 = 13248^2 + 28584^2 .

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 (992554561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3861952 + ... + 3862208.

Almost surely, 2^992554560 is an apocalyptic number.

992554560 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 992554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784108700).

992554560 is an abundant number, since it is smaller than the sum of its proper divisors (2575662840).

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

992554560 is a wasteful number, since it uses less digits than its factorization.

992554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 992554560 is about 31504.8339148138. The cubic root of 992554560 is about 997.5120016646.

The spelling of 992554560 in words is "nine hundred ninety-two million, five hundred fifty-four thousand, five hundred sixty".