986412960 has 576 divisors, whose sum is σ = 3962649600. Its totient is φ = 221405184.

The previous prime is 986412953. The next prime is 986412967. The reversal of 986412960 is 69214689.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (986412953) and next prime (986412967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (986412967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12486201 + ... + 12486279.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^986412960 is an apocalyptic number.

986412960 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 986412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

986412960 is an abundant number, since it is smaller than the sum of its proper divisors (2976236640).

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

986412960 is a wasteful number, since it uses less digits than its factorization.

986412960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

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

The square root of 986412960 is about 31407.2119106424. The cubic root of 986412960 is about 995.4503184567.

The spelling of 986412960 in words is "nine hundred eighty-six million, four hundred twelve thousand, nine hundred sixty".