978259968 has 312 divisors, whose sum is σ = 3434715648. Its totient is φ = 261881856.

The previous prime is 978259957. The next prime is 978259969. The reversal of 978259968 is 869952879.

It is a super-2 number, since 2×978259968² = 1913985129982722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (19595520) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (978259969) 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, 4386705 + ... + 4386927.

It is an arithmetic number, because the mean of its divisors is an integer number (11008704).

Almost surely, 2^978259968 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 978259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717357824).

978259968 is an abundant number, since it is smaller than the sum of its proper divisors (2456455680).

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

978259968 is a wasteful number, since it uses less digits than its factorization.

978259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 252 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The square root of 978259968 is about 31277.1476960416. The cubic root of 978259968 is about 992.7001647353.

The spelling of 978259968 in words is "nine hundred seventy-eight million, two hundred fifty-nine thousand, nine hundred sixty-eight".