1962095616 has 352 divisors, whose sum is σ = 6437733120. Its totient is φ = 586579968.

The previous prime is 1962095581. The next prime is 1962095651. The reversal of 1962095616 is 6165902691.

It is a happy number.

1962095616 is a `hidden beast` number, since 1 + 9 + 6 + 20 + 9 + 5 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (1962095581) and next prime (1962095651).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 19049421 + ... + 19049523.

Almost surely, 2^1962095616 is an apocalyptic number.

1962095616 is a gapful number since it is divisible by the number (16) 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 1962095616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218866560).

1962095616 is an abundant number, since it is smaller than the sum of its proper divisors (4475637504).

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

1962095616 is a wasteful number, since it uses less digits than its factorization.

1962095616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1962095616 is about 44295.5484896620. The cubic root of 1962095616 is about 1251.9108089722.

The spelling of 1962095616 in words is "one billion, nine hundred sixty-two million, ninety-five thousand, six hundred sixteen".