195856864 has 96 divisors (see below), whose sum is σ = 491339520. Its totient is φ = 74815488.

The previous prime is 195856861. The next prime is 195856907. The reversal of 195856864 is 468658591.

It is a super-2 number, since 2×195856864² = 76719822351828992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195856861) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 70999 + ... + 73705.

It is an arithmetic number, because the mean of its divisors is an integer number (5118120).

Almost surely, 2^195856864 is an apocalyptic number.

195856864 is a gapful number since it is divisible by the number (14) 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 195856864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245669760).

195856864 is an abundant number, since it is smaller than the sum of its proper divisors (295482656).

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

195856864 is a wasteful number, since it uses less digits than its factorization.

195856864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2752 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The square root of 195856864 is about 13994.8870663539. The cubic root of 195856864 is about 580.7371364797.

The spelling of 195856864 in words is "one hundred ninety-five million, eight hundred fifty-six thousand, eight hundred sixty-four".