998277120 has 192 divisors, whose sum is σ = 3465752940. Its totient is φ = 265814016.

The previous prime is 998277107. The next prime is 998277167. The reversal of 998277120 is 21772899.

It can be written as a sum of positive squares in 2 ways, for example, as 920272896 + 78004224 = 30336^2 + 8832^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474222 + ... + 1474898.

Almost surely, 2^998277120 is an apocalyptic number.

998277120 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 998277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732876470).

998277120 is an abundant number, since it is smaller than the sum of its proper divisors (2467475820).

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

998277120 is an equidigital number, since it uses as much as digits as its factorization.

998277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 998277120 is about 31595.5237335924. The cubic root of 998277120 is about 999.4253765378.

The spelling of 998277120 in words is "nine hundred ninety-eight million, two hundred seventy-seven thousand, one hundred twenty".