855972096 has 144 divisors (see below), whose sum is σ = 2634307200. Its totient is φ = 241680384.

The previous prime is 855972077. The next prime is 855972107. The reversal of 855972096 is 690279558.

It is a happy 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, 477570 + ... + 479358.

It is an arithmetic number, because the mean of its divisors is an integer number (18293800).

Almost surely, 2^855972096 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 855972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317153600).

855972096 is an abundant number, since it is smaller than the sum of its proper divisors (1778335104).

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

855972096 is a wasteful number, since it uses less digits than its factorization.

855972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 855972096 is about 29257.0008032266. Note that the first 3 decimals coincide. The cubic root of 855972096 is about 949.4815623724.

The spelling of 855972096 in words is "eight hundred fifty-five million, nine hundred seventy-two thousand, ninety-six".