85699296 has 144 divisors (see below), whose sum is σ = 257572224. Its totient is φ = 28024704.

The previous prime is 85699249. The next prime is 85699309. The reversal of 85699296 is 69299658.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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, 800875 + ... + 800981.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 2^85699296 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 85699296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112).

85699296 is an abundant number, since it is smaller than the sum of its proper divisors (171872928).

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

85699296 is a wasteful number, since it uses less digits than its factorization.

85699296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 85699296 is about 9257.3914252342. The cubic root of 85699296 is about 440.8854346300.

The spelling of 85699296 in words is "eighty-five million, six hundred ninety-nine thousand, two hundred ninety-six".