985207680 has 96 divisors (see below), whose sum is σ = 3402065160. Its totient is φ = 262720512.

The previous prime is 985207673. The next prime is 985207687. The reversal of 985207680 is 86702589.

It is an interprime number because it is at equal distance from previous prime (985207673) and next prime (985207687).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985207687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79762 + ... + 91281.

Almost surely, 2^985207680 is an apocalyptic number.

985207680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

985207680 is an abundant number, since it is smaller than the sum of its proper divisors (2416857480).

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

985207680 is a wasteful number, since it uses less digits than its factorization.

985207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171068 (or 171053 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 985207680 is about 31388.0180960825. The cubic root of 985207680 is about 995.0447123498.

The spelling of 985207680 in words is "nine hundred eighty-five million, two hundred seven thousand, six hundred eighty".