1965382080 has 224 divisors, whose sum is σ = 6527499264. Its totient is φ = 500527104.

The previous prime is 1965382073. The next prime is 1965382141. The reversal of 1965382080 is 802835691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1939654 + ... + 1940666.

Almost surely, 2^1965382080 is an apocalyptic number.

1965382080 is a gapful number since it is divisible by the number (10) 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 1965382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263749632).

1965382080 is an abundant number, since it is smaller than the sum of its proper divisors (4562117184).

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

1965382080 is a wasteful number, since it uses less digits than its factorization.

1965382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1965382080 is about 44332.6299693578. The cubic root of 1965382080 is about 1252.6093927984.

The spelling of 1965382080 in words is "one billion, nine hundred sixty-five million, three hundred eighty-two thousand, eighty".