1963980072 has 24 divisors (see below), whose sum is σ = 5319112890. Its totient is φ = 654660000.

The previous prime is 1963980071. The next prime is 1963980119. The reversal of 1963980072 is 2700893691.

1963980072 is a `hidden beast` number, since 1 + 9 + 639 + 8 + 0 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1639764036 + 324216036 = 40494^2 + 18006^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1963980071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13638679 + ... + 13638822.

Almost surely, 2^1963980072 is an apocalyptic number.

1963980072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1963980072 is an abundant number, since it is smaller than the sum of its proper divisors (3355132818).

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

1963980072 is a wasteful number, since it uses less digits than its factorization.

1963980072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27277513 (or 27277506 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1963980072 is about 44316.8147772378. The cubic root of 1963980072 is about 1252.3114717374.

The spelling of 1963980072 in words is "one billion, nine hundred sixty-three million, nine hundred eighty thousand, seventy-two".