865348900 has 72 divisors (see below), whose sum is σ = 2030745024. Its totient is φ = 318172800.

The previous prime is 865348877. The next prime is 865348919. The reversal of 865348900 is 9843568.

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 23 ways as a sum of consecutive naturals, for example, 340635 + ... + 343165.

It is an arithmetic number, because the mean of its divisors is an integer number (28204792).

Almost surely, 2^865348900 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 865348900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015372512).

865348900 is an abundant number, since it is smaller than the sum of its proper divisors (1165396124).

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

865348900 is a wasteful number, since it uses less digits than its factorization.

865348900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 865348900 is about 29416.8132196538. The cubic root of 865348900 is about 952.9360320886.

The spelling of 865348900 in words is "eight hundred sixty-five million, three hundred forty-eight thousand, nine hundred".