986976 has 72 divisors (see below), whose sum is σ = 2948400. Its totient is φ = 312576.

The previous prime is 986963. The next prime is 986981. The reversal of 986976 is 679689.

986976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 986976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6550 + ... + 6698.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁹⁸⁶⁹⁷⁶ is an apocalyptic number.

986976 is a gapful number since it is divisible by the number (96) 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 986976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474200).

986976 is an abundant number, since it is smaller than the sum of its proper divisors (1961424).

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

986976 is a wasteful number, since it uses less digits than its factorization.

986976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

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

The square root of 986976 is about 993.4666577193. The cubic root of 986976 is about 99.5639681926.

The spelling of 986976 in words is "nine hundred eighty-six thousand, nine hundred seventy-six".