85001136 has 160 divisors (see below), whose sum is σ = 260102400. Its totient is φ = 23639040.

The previous prime is 85001113. The next prime is 85001149. The reversal of 85001136 is 63110058.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371070 + ... + 371298.

It is an arithmetic number, because the mean of its divisors is an integer number (1625640).

Almost surely, 2^85001136 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 85001136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130051200).

85001136 is an abundant number, since it is smaller than the sum of its proper divisors (175101264).

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

85001136 is a wasteful number, since it uses less digits than its factorization.

85001136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 85001136 is about 9219.6060653371. The cubic root of 85001136 is about 439.6849259516.

The spelling of 85001136 in words is "eighty-five million, one thousand, one hundred thirty-six".