1965195648 has 512 divisors, whose sum is σ = 6909235200. Its totient is φ = 544112640.

The previous prime is 1965195637. The next prime is 1965195709. The reversal of 1965195648 is 8465915691.

1965195648 is a `hidden beast` number, since 1 + 9 + 65 + 19 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1965195594 and 1965195603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23677015 + ... + 23677097.

It is an arithmetic number, because the mean of its divisors is an integer number (13494600).

Almost surely, 2^1965195648 is an apocalyptic number.

1965195648 is a gapful number since it is divisible by the number (18) 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 1965195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454617600).

1965195648 is an abundant number, since it is smaller than the sum of its proper divisors (4944039552).

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

1965195648 is a wasteful number, since it uses less digits than its factorization.

1965195648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 1965195648 is about 44330.5272695915. The cubic root of 1965195648 is about 1252.5697849174.

The spelling of 1965195648 in words is "one billion, nine hundred sixty-five million, one hundred ninety-five thousand, six hundred forty-eight".