985075680 has 96 divisors (see below), whose sum is σ = 3123767808. Its totient is φ = 260928000.

The previous prime is 985075657. The next prime is 985075697. The reversal of 985075680 is 86570589.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 65685 + ... + 79275.

It is an arithmetic number, because the mean of its divisors is an integer number (32539248).

Almost surely, 2^985075680 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 985075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561883904).

985075680 is an abundant number, since it is smaller than the sum of its proper divisors (2138692128).

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

985075680 is a wasteful number, since it uses less digits than its factorization.

985075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 985075680 is about 31385.9153124455. The cubic root of 985075680 is about 995.0002710369. Note that the first 3 decimals are identical.

The spelling of 985075680 in words is "nine hundred eighty-five million, seventy-five thousand, six hundred eighty".