980401968 has 480 divisors, whose sum is σ = 3730761216. Its totient is φ = 241864704.

The previous prime is 980401937. The next prime is 980401969. The reversal of 980401968 is 869104089.

It is a super-2 number, since 2×980401968² = 1922376037716546048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (980401969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6014655 + ... + 6014817.

Almost surely, 2^980401968 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 980401968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865380608).

980401968 is an abundant number, since it is smaller than the sum of its proper divisors (2750359248).

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

980401968 is a wasteful number, since it uses less digits than its factorization.

980401968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 980401968 is about 31311.3712251636. The cubic root of 980401968 is about 993.4241759880.

The spelling of 980401968 in words is "nine hundred eighty million, four hundred one thousand, nine hundred sixty-eight".