986965056 has 567 divisors, whose sum is σ = 3842482917. Its totient is φ = 241274880.

The previous prime is 986965019. The next prime is 986965069. The reversal of 986965056 is 650569689.

The square root of 986965056 is 31416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 768398400 + 218566656 = 27720^2 + 14784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 986964993 and 986965011.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 58056760 + ... + 58056776.

Almost surely, 2^986965056 is an apocalyptic number.

986965056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

986965056 is the 31416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986965056

986965056 is an abundant number, since it is smaller than the sum of its proper divisors (2855517861).

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

986965056 is a wasteful number, since it uses less digits than its factorization.

986965056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The cubic root of 986965056 is about 995.6360018905.

The spelling of 986965056 in words is "nine hundred eighty-six million, nine hundred sixty-five thousand, fifty-six".