978345984 has 336 divisors, whose sum is σ = 3346850304. Its totient is φ = 248709120.

The previous prime is 978345941. The next prime is 978345989. The reversal of 978345984 is 489543879.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978345989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20815849 + ... + 20815895.

It is an arithmetic number, because the mean of its divisors is an integer number (9960864).

Almost surely, 2^978345984 is an apocalyptic number.

978345984 is a gapful number since it is divisible by the number (94) 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 978345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673425152).

978345984 is an abundant number, since it is smaller than the sum of its proper divisors (2368504320).

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

978345984 is a wasteful number, since it uses less digits than its factorization.

978345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The square root of 978345984 is about 31278.5227272645. The cubic root of 978345984 is about 992.7292591130.

The spelling of 978345984 in words is "nine hundred seventy-eight million, three hundred forty-five thousand, nine hundred eighty-four".