1961050560 has 336 divisors, whose sum is σ = 7405323264. Its totient is φ = 438208512.

The previous prime is 1961050549. The next prime is 1961050571. The reversal of 1961050560 is 650501691.

It is an interprime number because it is at equal distance from previous prime (1961050549) and next prime (1961050571).

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 2210437 + ... + 2211323.

Almost surely, 2^1961050560 is an apocalyptic number.

1961050560 is a gapful number since it is divisible by the number (10) 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 1961050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702661632).

1961050560 is an abundant number, since it is smaller than the sum of its proper divisors (5444272704).

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

1961050560 is a wasteful number, since it uses less digits than its factorization.

1961050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 1961050560 is about 44283.7505186722. The cubic root of 1961050560 is about 1251.6885042690.

The spelling of 1961050560 in words is "one billion, nine hundred sixty-one million, fifty thousand, five hundred sixty".