984861000 has 384 divisors, whose sum is σ = 3633608160. Its totient is φ = 239616000.

The previous prime is 984860963. The next prime is 984861019. The reversal of 984861000 is 168489.

It is a happy number.

984861000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 189282564 + 795578436 = 13758^2 + 28206^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6272922 + ... + 6273078.

Almost surely, 2^984861000 is an apocalyptic number.

984861000 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 984861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816804080).

984861000 is an abundant number, since it is smaller than the sum of its proper divisors (2648747160).

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

984861000 is a wasteful number, since it uses less digits than its factorization.

984861000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 984861000 is about 31382.4951206879. The cubic root of 984861000 is about 994.9279848218.

The spelling of 984861000 in words is "nine hundred eighty-four million, eight hundred sixty-one thousand".