1961028608 has 396 divisors, whose sum is σ = 5586590520. Its totient is φ = 681246720.

The previous prime is 1961028577. The next prime is 1961028637. The reversal of 1961028608 is 8068201691.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 103212023 + ... + 103212041.

Almost surely, 2^1961028608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793295260).

1961028608 is an abundant number, since it is smaller than the sum of its proper divisors (3625561912).

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

1961028608 is a wasteful number, since it uses less digits than its factorization.

1961028608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 1961028608 is about 44283.5026618266. The cubic root of 1961028608 is about 1251.6838337845.

The spelling of 1961028608 in words is "one billion, nine hundred sixty-one million, twenty-eight thousand, six hundred eight".