981705120 has 192 divisors, whose sum is σ = 3572263296. Its totient is φ = 223969280.

The previous prime is 981705119. The next prime is 981705133. The reversal of 981705120 is 21507189.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 84292 + ... + 95228.

It is an arithmetic number, because the mean of its divisors is an integer number (18605538).

Almost surely, 2^981705120 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 981705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786131648).

981705120 is an abundant number, since it is smaller than the sum of its proper divisors (2590558176).

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

981705120 is a wasteful number, since it uses less digits than its factorization.

981705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10983 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 981705120 is about 31332.1738792571. The cubic root of 981705120 is about 993.8641348280.

The spelling of 981705120 in words is "nine hundred eighty-one million, seven hundred five thousand, one hundred twenty".