986542848 has 144 divisors (see below), whose sum is σ = 2973529440. Its totient is φ = 322523136.

The previous prime is 986542847. The next prime is 986542859. The reversal of 986542848 is 848245689.

986542848 is a `hidden beast` number, since 98 + 6 + 542 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×986542848² = 1946533581879902208, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 986542794 and 986542803.

It is not an unprimeable number, because it can be changed into a prime (986542847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364990 + ... + 367682.

It is an arithmetic number, because the mean of its divisors is an integer number (20649510).

Almost surely, 2^986542848 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 986542848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486764720).

986542848 is an abundant number, since it is smaller than the sum of its proper divisors (1986986592).

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

986542848 is a wasteful number, since it uses less digits than its factorization.

986542848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2751 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 986542848 is about 31409.2796479002. The cubic root of 986542848 is about 995.4940092101.

The spelling of 986542848 in words is "nine hundred eighty-six million, five hundred forty-two thousand, eight hundred forty-eight".