978315648 has 64 divisors (see below), whose sum is σ = 2602815600. Its totient is φ = 325582848.

The previous prime is 978315647. The next prime is 978315683. The reversal of 978315648 is 846513879.

978315648 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 (64).

It is a super-3 number, since 3×978315648³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 978315648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978315647) 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, 293640 + ... + 296952.

Almost surely, 2^978315648 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 978315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301407800).

978315648 is an abundant number, since it is smaller than the sum of its proper divisors (1624499952).

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

978315648 is a wasteful number, since it uses less digits than its factorization.

978315648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4087 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 978315648 is about 31278.0377901172. The cubic root of 978315648 is about 992.7189983441.

The spelling of 978315648 in words is "nine hundred seventy-eight million, three hundred fifteen thousand, six hundred forty-eight".