1961394176 has 128 divisors (see below), whose sum is σ = 4756268160. Its totient is φ = 789577728.

The previous prime is 1961394167. The next prime is 1961394191. The reversal of 1961394176 is 6714931691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1961394176² = 7694134227293437952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1961394176.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3899141 + ... + 3899643.

It is an arithmetic number, because the mean of its divisors is an integer number (37158345).

Almost surely, 2^1961394176 is an apocalyptic number.

1961394176 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 1961394176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378134080).

1961394176 is an abundant number, since it is smaller than the sum of its proper divisors (2794873984).

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

1961394176 is an frugal number, since it uses more digits than its factorization.

1961394176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 529 counting only the distinct ones).

The product of its digits is 244944, while the sum is 47.

The square root of 1961394176 is about 44287.6300562584. The cubic root of 1961394176 is about 1251.7616071061.

The spelling of 1961394176 in words is "one billion, nine hundred sixty-one million, three hundred ninety-four thousand, one hundred seventy-six".