1961085312 has 96 divisors (see below), whose sum is σ = 5652738000. Its totient is φ = 652594176.

The previous prime is 1961085311. The next prime is 1961085331. The reversal of 1961085312 is 2135801691.

1961085312 is a `hidden beast` number, since 1 + 9 + 610 + 8 + 5 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961085311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 965514 + ... + 967542.

Almost surely, 2^1961085312 is an apocalyptic number.

1961085312 is a gapful number since it is divisible by the number (12) 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 1961085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826369000).

1961085312 is an abundant number, since it is smaller than the sum of its proper divisors (3691652688).

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

1961085312 is a wasteful number, since it uses less digits than its factorization.

1961085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1961085312 is about 44284.1428956235. The cubic root of 1961085312 is about 1251.6958979968.

The spelling of 1961085312 in words is "one billion, nine hundred sixty-one million, eighty-five thousand, three hundred twelve".