981319680 has 360 divisors, whose sum is σ = 3741729264. Its totient is φ = 237895680.

The previous prime is 981319643. The next prime is 981319681. The reversal of 981319680 is 86913189.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981319681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89210875 + ... + 89210885.

Almost surely, 2^981319680 is an apocalyptic number.

981319680 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 981319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870864632).

981319680 is an abundant number, since it is smaller than the sum of its proper divisors (2760409584).

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

981319680 is an equidigital number, since it uses as much as digits as its factorization.

981319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 981319680 is about 31326.0224094921. The cubic root of 981319680 is about 993.7340464984.

The spelling of 981319680 in words is "nine hundred eighty-one million, three hundred nineteen thousand, six hundred eighty".