1982564676 has 81 divisors (see below), whose sum is σ = 5165231799. Its totient is φ = 641174400.

The previous prime is 1982564659. The next prime is 1982564677. The reversal of 1982564676 is 6764652891.

The square root of 1982564676 is 44526.

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

1982564676 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 564 + 6 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1778646276 + 203918400 = 42174^2 + 14280^2 .

It is not an unprimeable number, because it can be changed into a prime (1982564677) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10953306 + ... + 10953486.

Almost surely, 2^1982564676 is an apocalyptic number.

1982564676 is the 44526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982564676

1982564676 is an abundant number, since it is smaller than the sum of its proper divisors (3182667123).

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

1982564676 is a wasteful number, since it uses less digits than its factorization.

1982564676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The cubic root of 1982564676 is about 1256.2491704457.

The spelling of 1982564676 in words is "one billion, nine hundred eighty-two million, five hundred sixty-four thousand, six hundred seventy-six".