978336 has 72 divisors (see below), whose sum is σ = 2882880. Its totient is φ = 314496.

The previous prime is 978323. The next prime is 978337. The reversal of 978336 is 633879.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 978336.

It is not an unprimeable number, because it can be changed into a prime (978337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12345 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (40040).

2⁹⁷⁸³³⁶ is an apocalyptic number.

978336 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 978336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441440).

978336 is an abundant number, since it is smaller than the sum of its proper divisors (1904544).

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

978336 is a wasteful number, since it uses less digits than its factorization.

978336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 978336 is about 989.1086896798. The cubic root of 978336 is about 99.2725882174.

The spelling of 978336 in words is "nine hundred seventy-eight thousand, three hundred thirty-six".