85288626 has 128 divisors (see below), whose sum is σ = 215377920. Its totient is φ = 25194240.

The previous prime is 85288583. The next prime is 85288627. The reversal of 85288626 is 62688258.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (368640) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85288627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2305080 + ... + 2305116.

It is an arithmetic number, because the mean of its divisors is an integer number (1682640).

Almost surely, 2^85288626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85288626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107688960).

85288626 is an abundant number, since it is smaller than the sum of its proper divisors (130089294).

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

85288626 is a wasteful number, since it uses less digits than its factorization.

85288626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 85288626 is about 9235.1841346018. The cubic root of 85288626 is about 440.1800674829.

The spelling of 85288626 in words is "eighty-five million, two hundred eighty-eight thousand, six hundred twenty-six".