1972065564 has 108 divisors (see below), whose sum is σ = 5817075264. Its totient is φ = 561673728.

The previous prime is 1972065551. The next prime is 1972065583. The reversal of 1972065564 is 4655602791.

1972065564 is a `hidden beast` number, since 1 + 9 + 7 + 20 + 65 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 621109 + ... + 624275.

It is an arithmetic number, because the mean of its divisors is an integer number (53861808).

Almost surely, 2^1972065564 is an apocalyptic number.

1972065564 is a gapful number since it is divisible by the number (14) 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 1972065564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908537632).

1972065564 is an abundant number, since it is smaller than the sum of its proper divisors (3845009700).

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

1972065564 is a wasteful number, since it uses less digits than its factorization.

1972065564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1972065564 is about 44407.9448297261. The cubic root of 1972065564 is about 1254.0276620654.

The spelling of 1972065564 in words is "one billion, nine hundred seventy-two million, sixty-five thousand, five hundred sixty-four".