984610080 has 480 divisors, whose sum is σ = 3803572080. Its totient is φ = 238878720.

The previous prime is 984610069. The next prime is 984610129. The reversal of 984610080 is 80016489.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 390615696 + 593994384 = 19764^2 + 24372^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9033066 + ... + 9033174.

Almost surely, 2^984610080 is an apocalyptic number.

984610080 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 984610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901786040).

984610080 is an abundant number, since it is smaller than the sum of its proper divisors (2818962000).

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

984610080 is a wasteful number, since it uses less digits than its factorization.

984610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 984610080 is about 31378.4970959414. The cubic root of 984610080 is about 994.8434826994.

The spelling of 984610080 in words is "nine hundred eighty-four million, six hundred ten thousand, eighty".