85026690 has 144 divisors (see below), whose sum is σ = 268961472. Its totient is φ = 18252288.

The previous prime is 85026671. The next prime is 85026731. The reversal of 85026690 is 9662058.

85026690 is a `hidden beast` number, since 8 + 502 + 66 + 90 = 666.

It is a super-2 number, since 2×85026690² = 14459076024712200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181837 + ... + 182303.

It is an arithmetic number, because the mean of its divisors is an integer number (1867788).

Almost surely, 2^85026690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85026690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134480736).

85026690 is an abundant number, since it is smaller than the sum of its proper divisors (183934782).

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

85026690 is a wasteful number, since it uses less digits than its factorization.

85026690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85026690 is about 9220.9918121642. The cubic root of 85026690 is about 439.7289825505.

The spelling of 85026690 in words is "eighty-five million, twenty-six thousand, six hundred ninety".