986964000 has 192 divisors, whose sum is σ = 3527701632. Its totient is φ = 239232000.

The previous prime is 986963983. The next prime is 986964007. The reversal of 986964000 is 469689.

It is not an unprimeable number, because it can be changed into a prime (986964007) 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, 128262 + ... + 135738.

It is an arithmetic number, because the mean of its divisors is an integer number (18373446).

Almost surely, 2^986964000 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 986964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763850816).

986964000 is an abundant number, since it is smaller than the sum of its proper divisors (2540737632).

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

986964000 is a wasteful number, since it uses less digits than its factorization.

986964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7498 counting only the distinct ones).

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

The square root of 986964000 is about 31415.9831932728. The cubic root of 986964000 is about 995.6356467979.

The spelling of 986964000 in words is "nine hundred eighty-six million, nine hundred sixty-four thousand".