986496000 has 352 divisors, whose sum is σ = 3760453632. Its totient is φ = 224870400.

The previous prime is 986495999. The next prime is 986496001. The reversal of 986496000 is 694689.

It is an interprime number because it is at equal distance from previous prime (986495999) and next prime (986496001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986496001) 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 31 ways as a sum of consecutive naturals, for example, 2687817 + ... + 2688183.

Almost surely, 2^986496000 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 986496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880226816).

986496000 is an abundant number, since it is smaller than the sum of its proper divisors (2773957632).

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

986496000 is a wasteful number, since it uses less digits than its factorization.

986496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 986496000 is about 31408.5338721819. The cubic root of 986496000 is about 995.4782512727.

The spelling of 986496000 in words is "nine hundred eighty-six million, four hundred ninety-six thousand".