978576 has 80 divisors (see below), whose sum is σ = 2827200. Its totient is φ = 290304.

The previous prime is 978569. The next prime is 978599. The reversal of 978576 is 675879.

It is a super-2 number, since 2×978576² = 1915221975552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

Its product of digits (105840) is a multiple of the sum of its prime divisors (90).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

978576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 26430 + ... + 26466.

It is an arithmetic number, because the mean of its divisors is an integer number (35340).

2⁹⁷⁸⁵⁷⁶ 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 978576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413600).

978576 is an abundant number, since it is smaller than the sum of its proper divisors (1848624).

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

978576 is a wasteful number, since it uses less digits than its factorization.

978576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 978576 is about 989.2300035886. The cubic root of 978576 is about 99.2807052220.

The spelling of 978576 in words is "nine hundred seventy-eight thousand, five hundred seventy-six".