852723936 has 72 divisors (see below), whose sum is σ = 2514768984. Its totient is φ = 284238720.

The previous prime is 852723931. The next prime is 852723947. The reversal of 852723936 is 639327258.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×852723936² = 1454276222054664192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 852723891 and 852723900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852723931) 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 11 ways as a sum of consecutive naturals, for example, 47055 + ... + 62606.

It is an arithmetic number, because the mean of its divisors is an integer number (34927347).

Almost surely, 2^852723936 is an apocalyptic number.

It is an amenable number.

852723936 is an abundant number, since it is smaller than the sum of its proper divisors (1662045048).

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

852723936 is a wasteful number, since it uses less digits than its factorization.

852723936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109686 (or 109666 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 852723936 is about 29201.4372249038. The cubic root of 852723936 is about 948.2790397933.

The spelling of 852723936 in words is "eight hundred fifty-two million, seven hundred twenty-three thousand, nine hundred thirty-six".