85007610 has 64 divisors (see below), whose sum is σ = 227577600. Its totient is φ = 22579776.

The previous prime is 85007569. The next prime is 85007617. The reversal of 85007610 is 1670058.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85007617) 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 31 ways as a sum of consecutive naturals, for example, 96492 + ... + 97368.

It is an arithmetic number, because the mean of its divisors is an integer number (3555900).

Almost surely, 2^85007610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85007610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113788800).

85007610 is an abundant number, since it is smaller than the sum of its proper divisors (142569990).

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

85007610 is a wasteful number, since it uses less digits than its factorization.

85007610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 85007610 is about 9219.9571582519. The cubic root of 85007610 is about 439.6960883434.

Adding to 85007610 its reverse (1670058), we get a palindrome (86677668).

It can be divided in two parts, 8500 and 7610, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 85007610 in words is "eighty-five million, seven thousand, six hundred ten".