85499136 has 108 divisors (see below), whose sum is σ = 252540288. Its totient is φ = 27804672.

The previous prime is 85499131. The next prime is 85499149. The reversal of 85499136 is 63199458.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85499091 and 85499100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85499131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98641 + ... + 99503.

It is an arithmetic number, because the mean of its divisors is an integer number (2338336).

Almost surely, 2^85499136 is an apocalyptic number.

85499136 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85499136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126270144).

85499136 is an abundant number, since it is smaller than the sum of its proper divisors (167041152).

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

85499136 is a wasteful number, since it uses less digits than its factorization.

85499136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 911 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 85499136 is about 9246.5742845661. The cubic root of 85499136 is about 440.5419218048.

The spelling of 85499136 in words is "eighty-five million, four hundred ninety-nine thousand, one hundred thirty-six".