982013760 has 448 divisors, whose sum is σ = 4267200000. Its totient is φ = 207028224.

The previous prime is 982013749. The next prime is 982013761. The reversal of 982013760 is 67310289.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982013761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785616 + ... + 786864.

It is an arithmetic number, because the mean of its divisors is an integer number (9525000).

Almost surely, 2^982013760 is an apocalyptic number.

982013760 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 982013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133600000).

982013760 is an abundant number, since it is smaller than the sum of its proper divisors (3285186240).

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

982013760 is a wasteful number, since it uses less digits than its factorization.

982013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 982013760 is about 31337.0987808380. The cubic root of 982013760 is about 993.9682781462.

The spelling of 982013760 in words is "nine hundred eighty-two million, thirteen thousand, seven hundred sixty".