1962083772 has 72 divisors (see below), whose sum is σ = 5464276272. Its totient is φ = 588672000.

The previous prime is 1962083731. The next prime is 1962083779. The reversal of 1962083772 is 2773802691.

1962083772 is a `hidden beast` number, since 19 + 620 + 8 + 3 + 7 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1962083779) 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 23 ways as a sum of consecutive naturals, for example, 15468 + ... + 64524.

It is an arithmetic number, because the mean of its divisors is an integer number (75892726).

Almost surely, 2^1962083772 is an apocalyptic number.

1962083772 is a gapful number since it is divisible by the number (12) 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 1962083772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732138136).

1962083772 is an abundant number, since it is smaller than the sum of its proper divisors (3502192500).

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

1962083772 is a wasteful number, since it uses less digits than its factorization.

1962083772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49179 (or 49174 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1962083772 is about 44295.4147965678. The cubic root of 1962083772 is about 1251.9082899544.

The spelling of 1962083772 in words is "one billion, nine hundred sixty-two million, eighty-three thousand, seven hundred seventy-two".