1965348096 has 144 divisors (see below), whose sum is σ = 5484460800. Its totient is φ = 623960064.

The previous prime is 1965348083. The next prime is 1965348109. The reversal of 1965348096 is 6908435691.

It is an interprime number because it is at equal distance from previous prime (1965348083) and next prime (1965348109).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758930 + ... + 1760046.

Almost surely, 2^1965348096 is an apocalyptic number.

1965348096 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 1965348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742230400).

1965348096 is an abundant number, since it is smaller than the sum of its proper divisors (3519112704).

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

1965348096 is a wasteful number, since it uses less digits than its factorization.

1965348096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 1965348096 is about 44332.2466834245. The cubic root of 1965348096 is about 1252.6021730109.

The spelling of 1965348096 in words is "one billion, nine hundred sixty-five million, three hundred forty-eight thousand, ninety-six".