986291040 has 384 divisors, whose sum is σ = 3887751168. Its totient is φ = 204963840.

The previous prime is 986291027. The next prime is 986291087. The reversal of 986291040 is 40192689.

986291040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 986291040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1770442 + ... + 1770998.

It is an arithmetic number, because the mean of its divisors is an integer number (10124352).

Almost surely, 2^986291040 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 986291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943875584).

986291040 is an abundant number, since it is smaller than the sum of its proper divisors (2901460128).

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

986291040 is a wasteful number, since it uses less digits than its factorization.

986291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 986291040 is about 31405.2708951857. The cubic root of 986291040 is about 995.4093044297.

The spelling of 986291040 in words is "nine hundred eighty-six million, two hundred ninety-one thousand, forty".