986641920 has 480 divisors, whose sum is σ = 3964165920. Its totient is φ = 224133120.

The previous prime is 986641913. The next prime is 986641987. The reversal of 986641920 is 29146689.

It is a happy number.

986641920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 4308366 + ... + 4308594.

It is an arithmetic number, because the mean of its divisors is an integer number (8258679).

Almost surely, 2^986641920 is an apocalyptic number.

986641920 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 986641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982082960).

986641920 is an abundant number, since it is smaller than the sum of its proper divisors (2977524000).

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

986641920 is a wasteful number, since it uses less digits than its factorization.

986641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 986641920 is about 31410.8567218406. The cubic root of 986641920 is about 995.5273317301.

The spelling of 986641920 in words is "nine hundred eighty-six million, six hundred forty-one thousand, nine hundred twenty".