980864640 has 768 divisors, whose sum is σ = 4330609920. Its totient is φ = 207028224.

The previous prime is 980864627. The next prime is 980864659. The reversal of 980864640 is 46468089.

It is a happy number.

980864640 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18506854 + ... + 18506906.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2^980864640 is an apocalyptic number.

980864640 is a gapful number since it is divisible by the number (90) 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 980864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165304960).

980864640 is an abundant number, since it is smaller than the sum of its proper divisors (3349745280).

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

980864640 is a wasteful number, since it uses less digits than its factorization.

980864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 980864640 is about 31318.7585960874. The cubic root of 980864640 is about 993.5804238949.

The spelling of 980864640 in words is "nine hundred eighty million, eight hundred sixty-four thousand, six hundred forty".