981340080 has 320 divisors, whose sum is σ = 3676907520. Its totient is φ = 211673088.

The previous prime is 981340069. The next prime is 981340081. The reversal of 981340080 is 80043189.

It is a super-2 number, since 2×981340080² = 1926056705228812800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (981340081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4211644 + ... + 4211876.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^981340080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981340080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838453760).

981340080 is an abundant number, since it is smaller than the sum of its proper divisors (2695567440).

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

981340080 is a wasteful number, since it uses less digits than its factorization.

981340080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 981340080 is about 31326.3480156880. The cubic root of 981340080 is about 993.7409324753.

The spelling of 981340080 in words is "nine hundred eighty-one million, three hundred forty thousand, eighty".