986976000 has 432 divisors, whose sum is σ = 3730708800. Its totient is φ = 250060800.

The previous prime is 986975989. The next prime is 986976061. The reversal of 986976000 is 679689.

986976000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6623926 + ... + 6624074.

It is an arithmetic number, because the mean of its divisors is an integer number (8635900).

Almost surely, 2^986976000 is an apocalyptic number.

986976000 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 986976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865354400).

986976000 is an abundant number, since it is smaller than the sum of its proper divisors (2743732800).

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

986976000 is a wasteful number, since it uses less digits than its factorization.

986976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 986976000 is about 31416.1741782796. The cubic root of 986976000 is about 995.6396819263.

The spelling of 986976000 in words is "nine hundred eighty-six million, nine hundred seventy-six thousand".