1972786960 has 40 divisors (see below), whose sum is σ = 4598020440. Its totient is φ = 787172352.

The previous prime is 1972786957. The next prime is 1972786961. The reversal of 1972786960 is 696872791.

It can be written as a sum of positive squares in 4 ways, for example, as 420742144 + 1552044816 = 20512^2 + 39396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1972786961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2574 + ... + 62866.

It is an arithmetic number, because the mean of its divisors is an integer number (114950511).

Almost surely, 2^1972786960 is an apocalyptic number.

1972786960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972786960 is an abundant number, since it is smaller than the sum of its proper divisors (2625233480).

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

1972786960 is a wasteful number, since it uses less digits than its factorization.

1972786960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60715 (or 60709 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 55.

The square root of 1972786960 is about 44416.0664624863. The cubic root of 1972786960 is about 1254.1805542527.

The spelling of 1972786960 in words is "one billion, nine hundred seventy-two million, seven hundred eighty-six thousand, nine hundred sixty".