986496 has 64 divisors (see below), whose sum is σ = 3002880. Its totient is φ = 281088.

The previous prime is 986477. The next prime is 986497. The reversal of 986496 is 694689.

It is a tau number, because it is divible by the number of its divisors (64).

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 (986497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2505 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (46920).

2⁹⁸⁶⁴⁹⁶ is an apocalyptic number.

986496 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 986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501440).

986496 is an abundant number, since it is smaller than the sum of its proper divisors (2016384).

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

986496 is a wasteful number, since it uses less digits than its factorization.

986496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

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

The square root of 986496 is about 993.2250500264. The cubic root of 986496 is about 99.5478251273.

The spelling of 986496 in words is "nine hundred eighty-six thousand, four hundred ninety-six".