1960166208 has 672 divisors, whose sum is σ = 7472037888. Its totient is φ = 445132800.

The previous prime is 1960166077. The next prime is 1960166227. The reversal of 1960166208 is 8026610691.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41705641 + ... + 41705687.

It is an arithmetic number, because the mean of its divisors is an integer number (11119104).

Almost surely, 2^1960166208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736018944).

1960166208 is an abundant number, since it is smaller than the sum of its proper divisors (5511871680).

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

1960166208 is a wasteful number, since it uses less digits than its factorization.

1960166208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1960166208 is about 44273.7643305830. The cubic root of 1960166208 is about 1251.5003228779.

Adding to 1960166208 its reverse (8026610691), we get a palindrome (9986776899).

The spelling of 1960166208 in words is "one billion, nine hundred sixty million, one hundred sixty-six thousand, two hundred eight".