1972564536 has 128 divisors (see below), whose sum is σ = 5352721920. Its totient is φ = 603500544.

The previous prime is 1972564507. The next prime is 1972564537. The reversal of 1972564536 is 6354652791.

1972564536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972564537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3067431 + ... + 3068073.

It is an arithmetic number, because the mean of its divisors is an integer number (41818140).

Almost surely, 2^1972564536 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 1972564536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676360960).

1972564536 is an abundant number, since it is smaller than the sum of its proper divisors (3380157384).

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

1972564536 is a wasteful number, since it uses less digits than its factorization.

1972564536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 1972564536 is about 44413.5625231753. The cubic root of 1972564536 is about 1254.1334178333.

The spelling of 1972564536 in words is "one billion, nine hundred seventy-two million, five hundred sixty-four thousand, five hundred thirty-six".