1965852000 has 576 divisors, whose sum is σ = 8279107200. Its totient is φ = 432230400.

The previous prime is 1965851983. The next prime is 1965852061. The reversal of 1965852000 is 2585691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7307866 + ... + 7308134.

It is an arithmetic number, because the mean of its divisors is an integer number (14373450).

Almost surely, 2^1965852000 is an apocalyptic number.

1965852000 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 1965852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139553600).

1965852000 is an abundant number, since it is smaller than the sum of its proper divisors (6313255200).

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

1965852000 is a wasteful number, since it uses less digits than its factorization.

1965852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1965852000 is about 44337.9295863034. The cubic root of 1965852000 is about 1252.7092172049.

The spelling of 1965852000 in words is "one billion, nine hundred sixty-five million, eight hundred fifty-two thousand".