1961306190 has 128 divisors (see below), whose sum is σ = 5311872000. Its totient is φ = 514926720.

The previous prime is 1961306189. The next prime is 1961306203. The reversal of 1961306190 is 916031691.

1961306190 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 30 + 619 + 0 = 666.

1961306190 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1961306190² = 7693443941864632200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9295185 + ... + 9295395.

It is an arithmetic number, because the mean of its divisors is an integer number (41499000).

Almost surely, 2^1961306190 is an apocalyptic number.

1961306190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961306190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655936000).

1961306190 is an abundant number, since it is smaller than the sum of its proper divisors (3350565810).

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

1961306190 is a wasteful number, since it uses less digits than its factorization.

1961306190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1961306190 is about 44286.6366977670. The cubic root of 1961306190 is about 1251.7428892735.

The spelling of 1961306190 in words is "one billion, nine hundred sixty-one million, three hundred six thousand, one hundred ninety".