985461120 has 256 divisors, whose sum is σ = 3989260800. Its totient is φ = 225220608.

The previous prime is 985461107. The next prime is 985461149. The reversal of 985461120 is 21164589.

985461120 is a `hidden beast` number, since 98 + 546 + 1 + 1 + 20 = 666.

985461120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×985461120² = 1942267238063308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 116887 + ... + 125033.

It is an arithmetic number, because the mean of its divisors is an integer number (15583050).

Almost surely, 2^985461120 is an apocalyptic number.

985461120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994630400).

985461120 is an abundant number, since it is smaller than the sum of its proper divisors (3003799680).

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

985461120 is a wasteful number, since it uses less digits than its factorization.

985461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182 (or 8164 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 985461120 is about 31392.0550458233. The cubic root of 985461120 is about 995.1300285444.

The spelling of 985461120 in words is "nine hundred eighty-five million, four hundred sixty-one thousand, one hundred twenty".