85646946 has 96 divisors (see below), whose sum is σ = 226759680. Its totient is φ = 21051360.

The previous prime is 85646933. The next prime is 85646959. The reversal of 85646946 is 64964658.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85646933) and next prime (85646959).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85646895 and 85646904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96115 + ... + 97001.

It is an arithmetic number, because the mean of its divisors is an integer number (2362080).

Almost surely, 2^85646946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85646946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113379840).

85646946 is an abundant number, since it is smaller than the sum of its proper divisors (141112734).

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

85646946 is a wasteful number, since it uses less digits than its factorization.

85646946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 929 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 85646946 is about 9254.5635229329. The cubic root of 85646946 is about 440.7956437186.

The spelling of 85646946 in words is "eighty-five million, six hundred forty-six thousand, nine hundred forty-six".