85826120 has 64 divisors (see below), whose sum is σ = 201398400. Its totient is φ = 32888320.

The previous prime is 85826119. The next prime is 85826131. The reversal of 85826120 is 2162858.

It is a super-2 number, since 2×85826120² = 14732245748508800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96317 + ... + 97203.

It is an arithmetic number, because the mean of its divisors is an integer number (3146850).

Almost surely, 2^85826120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85826120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

85826120 is an abundant number, since it is smaller than the sum of its proper divisors (115572280).

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

85826120 is a wasteful number, since it uses less digits than its factorization.

85826120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85826120 is about 9264.2387706708. The cubic root of 85826120 is about 441.1028121245.

Adding to 85826120 its reverse (2162858), we get a palindrome (87988978).

The spelling of 85826120 in words is "eighty-five million, eight hundred twenty-six thousand, one hundred twenty".