982126080 has 320 divisors, whose sum is σ = 3760384320. Its totient is φ = 241532928.

The previous prime is 982126073. The next prime is 982126109. The reversal of 982126080 is 80621289.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898014 + ... + 899106.

It is an arithmetic number, because the mean of its divisors is an integer number (11751201).

Almost surely, 2^982126080 is an apocalyptic number.

982126080 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 982126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880192160).

982126080 is an abundant number, since it is smaller than the sum of its proper divisors (2778258240).

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

982126080 is a wasteful number, since it uses less digits than its factorization.

982126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1116 counting only the distinct ones).

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

The square root of 982126080 is about 31338.8908546553. The cubic root of 982126080 is about 994.0061724763.

The spelling of 982126080 in words is "nine hundred eighty-two million, one hundred twenty-six thousand, eighty".