1961090080 has 96 divisors (see below), whose sum is σ = 4961340720. Its totient is φ = 729907200.

The previous prime is 1961090069. The next prime is 1961090093. The reversal of 1961090080 is 800901691.

It can be written as a sum of positive squares in 8 ways, for example, as 1521936144 + 439153936 = 39012^2 + 20956^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238030 + ... + 246130.

Almost surely, 2^1961090080 is an apocalyptic number.

1961090080 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 1961090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480670360).

1961090080 is an abundant number, since it is smaller than the sum of its proper divisors (3000250640).

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

1961090080 is a wasteful number, since it uses less digits than its factorization.

1961090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 1961090080 is about 44284.1967297590. The cubic root of 1961090080 is about 1251.6969124149.

The spelling of 1961090080 in words is "one billion, nine hundred sixty-one million, ninety thousand, eighty".