85952946 has 16 divisors (see below), whose sum is σ = 172020384. Its totient is φ = 28631904.

The previous prime is 85952929. The next prime is 85952957. The reversal of 85952946 is 64925958.

It is a junction number, because it is equal to n+sod(n) for n = 85952895 and 85952904.

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, 7366 + ... + 15038.

It is an arithmetic number, because the mean of its divisors is an integer number (10751274).

Almost surely, 2^85952946 is an apocalyptic number.

85952946 is an abundant number, since it is smaller than the sum of its proper divisors (86067438).

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

85952946 is a wasteful number, since it uses less digits than its factorization.

85952946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9545.

The product of its digits is 777600, while the sum is 48.

The square root of 85952946 is about 9271.0811667248. The cubic root of 85952946 is about 441.3199790036.

The spelling of 85952946 in words is "eighty-five million, nine hundred fifty-two thousand, nine hundred forty-six".