85996890 has 160 divisors (see below), whose sum is σ = 273905280. Its totient is φ = 18942336.

The previous prime is 85996849. The next prime is 85996891. The reversal of 85996890 is 9869958.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85996891) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 164169 + ... + 164691.

It is an arithmetic number, because the mean of its divisors is an integer number (1711908).

Almost surely, 2^85996890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85996890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136952640).

85996890 is an abundant number, since it is smaller than the sum of its proper divisors (187908390).

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

85996890 is a wasteful number, since it uses less digits than its factorization.

85996890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 85996890 is about 9273.4508140174. The cubic root of 85996890 is about 441.3951754222.

The spelling of 85996890 in words is "eighty-five million, nine hundred ninety-six thousand, eight hundred ninety".