978048 has 64 divisors (see below), whose sum is σ = 2896800. Its totient is φ = 324864.

The previous prime is 978041. The next prime is 978049. The reversal of 978048 is 840879.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 not an unprimeable number, because it can be changed into a prime (978041) 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, 3315 + ... + 3597.

2⁹⁷⁸⁰⁴⁸ 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 978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448400).

978048 is an abundant number, since it is smaller than the sum of its proper divisors (1918752).

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

978048 is a wasteful number, since it uses less digits than its factorization.

978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 978048 is about 988.9630933458. The cubic root of 978048 is about 99.2628460596.

The spelling of 978048 in words is "nine hundred seventy-eight thousand, forty-eight".