85385088 has 192 divisors, whose sum is σ = 267321600. Its totient is φ = 26072064.

The previous prime is 85385081. The next prime is 85385089. The reversal of 85385088 is 88058358.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×85385088² = 14581226505535488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85385081) 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 23 ways as a sum of consecutive naturals, for example, 1028695 + ... + 1028777.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^85385088 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 85385088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

85385088 is an abundant number, since it is smaller than the sum of its proper divisors (181936512).

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

85385088 is a wasteful number, since it uses less digits than its factorization.

85385088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 85385088 is about 9240.4051859212. The cubic root of 85385088 is about 440.3459538148.

The spelling of 85385088 in words is "eighty-five million, three hundred eighty-five thousand, eighty-eight".