1961845760 has 352 divisors, whose sum is σ = 5879639040. Its totient is φ = 613122048.

The previous prime is 1961845751. The next prime is 1961845793. The reversal of 1961845760 is 675481691.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29281247 + ... + 29281313.

It is an arithmetic number, because the mean of its divisors is an integer number (16703520).

Almost surely, 2^1961845760 is an apocalyptic number.

1961845760 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 1961845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939819520).

1961845760 is an abundant number, since it is smaller than the sum of its proper divisors (3917793280).

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

1961845760 is a wasteful number, since it uses less digits than its factorization.

1961845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 1961845760 is about 44292.7280713211. The cubic root of 1961845760 is about 1251.8576666920.

The spelling of 1961845760 in words is "one billion, nine hundred sixty-one million, eight hundred forty-five thousand, seven hundred sixty".