1965331872 has 72 divisors (see below), whose sum is σ = 6387335136. Its totient is φ = 561522816.

The previous prime is 1965331829. The next prime is 1965331873. The reversal of 1965331872 is 2781335691.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1965331873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485418 + ... + 489449.

It is an arithmetic number, because the mean of its divisors is an integer number (88712988).

Almost surely, 2^1965331872 is an apocalyptic number.

1965331872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1965331872 is an abundant number, since it is smaller than the sum of its proper divisors (4422003264).

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

1965331872 is a wasteful number, since it uses less digits than its factorization.

1965331872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974890 (or 974879 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1965331872 is about 44332.0637011182. The cubic root of 1965331872 is about 1252.5987262468.

The spelling of 1965331872 in words is "one billion, nine hundred sixty-five million, three hundred thirty-one thousand, eight hundred seventy-two".