980347968 has 112 divisors (see below), whose sum is σ = 2975173120. Its totient is φ = 316224000.

The previous prime is 980347933. The next prime is 980347969. The reversal of 980347968 is 869743089.

980347968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×980347968² = 1922164276723458048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (980347969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44418 + ... + 62718.

Almost surely, 2^980347968 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 980347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487586560).

980347968 is an abundant number, since it is smaller than the sum of its proper divisors (1994825152).

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

980347968 is a wasteful number, since it uses less digits than its factorization.

980347968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18353 (or 18337 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 980347968 is about 31310.5089067553. The cubic root of 980347968 is about 993.4059365678.

The spelling of 980347968 in words is "nine hundred eighty million, three hundred forty-seven thousand, nine hundred sixty-eight".