85952346 has 16 divisors (see below), whose sum is σ = 177832800. Its totient is φ = 27662768.

The previous prime is 85952329. The next prime is 85952353. The reversal of 85952346 is 64325958.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85952298 and 85952307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246816 + ... + 247163.

It is an arithmetic number, because the mean of its divisors is an integer number (11114550).

Almost surely, 2^85952346 is an apocalyptic number.

85952346 is an abundant number, since it is smaller than the sum of its proper divisors (91880454).

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

85952346 is a wasteful number, since it uses less digits than its factorization.

85952346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494013.

The product of its digits is 259200, while the sum is 42.

The square root of 85952346 is about 9271.0488079828. The cubic root of 85952346 is about 441.3189521139.

The spelling of 85952346 in words is "eighty-five million, nine hundred fifty-two thousand, three hundred forty-six".