985677420 has 384 divisors, whose sum is σ = 3641573376. Its totient is φ = 193526784.

The previous prime is 985677409. The next prime is 985677437. The reversal of 985677420 is 24776589.

985677420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 985677420.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5902177 + ... + 5902343.

It is an arithmetic number, because the mean of its divisors is an integer number (9483264).

Almost surely, 2^985677420 is an apocalyptic number.

It is a pronic number, being equal to 31395×31396.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985677420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820786688).

985677420 is an abundant number, since it is smaller than the sum of its proper divisors (2655895956).

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

985677420 is a wasteful number, since it uses less digits than its factorization.

985677420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 985677420 is about 31395.4999960185. The cubic root of 985677420 is about 995.2028306315.

The spelling of 985677420 in words is "nine hundred eighty-five million, six hundred seventy-seven thousand, four hundred twenty".