85182846 has 64 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 23037696.

The previous prime is 85182841. The next prime is 85182857. The reversal of 85182846 is 64828158.

It is a super-2 number, since 2×85182846² = 14512234505319432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 85182798 and 85182807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85182841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104890 + ... + 105698.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2^85182846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85182846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

85182846 is an abundant number, since it is smaller than the sum of its proper divisors (120103554).

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

85182846 is a wasteful number, since it uses less digits than its factorization.

85182846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953.

The product of its digits is 122880, while the sum is 42.

The square root of 85182846 is about 9229.4553468772. The cubic root of 85182846 is about 439.9980130764.

The spelling of 85182846 in words is "eighty-five million, one hundred eighty-two thousand, eight hundred forty-six".