985677000 has 512 divisors, whose sum is σ = 4075868160. Its totient is φ = 192000000.

The previous prime is 985676981. The next prime is 985677031. The reversal of 985677000 is 776589.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3926875 + ... + 3927125.

It is an arithmetic number, because the mean of its divisors is an integer number (7960680).

Almost surely, 2^985677000 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 985677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037934080).

985677000 is an abundant number, since it is smaller than the sum of its proper divisors (3090191160).

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

985677000 is a wasteful number, since it uses less digits than its factorization.

985677000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 985677000 is about 31395.4933071611. The cubic root of 985677000 is about 995.2026892786.

The spelling of 985677000 in words is "nine hundred eighty-five million, six hundred seventy-seven thousand".