1961249796 has 135 divisors (see below), whose sum is σ = 5544194565. Its totient is φ = 584575200.

The previous prime is 1961249791. The next prime is 1961249819. The reversal of 1961249796 is 6979421691.

It is a happy number.

The square root of 1961249796 is 44286.

It is a perfect power (a square), and thus also a powerful number.

1961249796 is a `hidden beast` number, since 1 + 9 + 61 + 2 + 497 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63776196 + 1897473600 = 7986^2 + 43560^2 .

It is not an unprimeable number, because it can be changed into a prime (1961249791) 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 44 ways as a sum of consecutive naturals, for example, 32151606 + ... + 32151666.

Almost surely, 2^1961249796 is an apocalyptic number.

1961249796 is the 44286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961249796

1961249796 is an abundant number, since it is smaller than the sum of its proper divisors (3582944769).

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

1961249796 is an equidigital number, since it uses as much as digits as its factorization.

1961249796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 77 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The cubic root of 1961249796 is about 1251.7308919176.

The spelling of 1961249796 in words is "one billion, nine hundred sixty-one million, two hundred forty-nine thousand, seven hundred ninety-six".