978656364 has 192 divisors, whose sum is σ = 3033676800. Its totient is φ = 266996736.

The previous prime is 978656363. The next prime is 978656369. The reversal of 978656364 is 463656879.

978656364 is a `hidden beast` number, since 9 + 78 + 6 + 563 + 6 + 4 = 666.

978656364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 978656364.

It is not an unprimeable number, because it can be changed into a prime (978656363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1650052 + ... + 1650644.

It is an arithmetic number, because the mean of its divisors is an integer number (15800400).

Almost surely, 2^978656364 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 978656364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516838400).

978656364 is an abundant number, since it is smaller than the sum of its proper divisors (2055020436).

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

978656364 is a wasteful number, since it uses less digits than its factorization.

978656364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 978656364 is about 31283.4838852708. The cubic root of 978656364 is about 992.8342290433.

The spelling of 978656364 in words is "nine hundred seventy-eight million, six hundred fifty-six thousand, three hundred sixty-four".