986929920 has 432 divisors, whose sum is σ = 3749840640. Its totient is φ = 247836672.

The previous prime is 986929913. The next prime is 986929921. The reversal of 986929920 is 29929689.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (986929921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5909677 + ... + 5909843.

Almost surely, 2^986929920 is an apocalyptic number.

986929920 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 986929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874920320).

986929920 is an abundant number, since it is smaller than the sum of its proper divisors (2762910720).

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

986929920 is a wasteful number, since it uses less digits than its factorization.

986929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 986929920 is about 31415.4407895226. The cubic root of 986929920 is about 995.6241868550.

The spelling of 986929920 in words is "nine hundred eighty-six million, nine hundred twenty-nine thousand, nine hundred twenty".