986880640 has 128 divisors (see below), whose sum is σ = 2423520000. Its totient is φ = 384184320.

The previous prime is 986880637. The next prime is 986880647. The reversal of 986880640 is 46088689.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (986880647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6623286 + ... + 6623434.

It is an arithmetic number, because the mean of its divisors is an integer number (18933750).

Almost surely, 2^986880640 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 986880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211760000).

986880640 is an abundant number, since it is smaller than the sum of its proper divisors (1436639360).

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

986880640 is a wasteful number, since it uses less digits than its factorization.

986880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The square root of 986880640 is about 31414.6564520448. The cubic root of 986880640 is about 995.6076152033.

The spelling of 986880640 in words is "nine hundred eighty-six million, eight hundred eighty thousand, six hundred forty".