85307940 has 72 divisors (see below), whose sum is σ = 265781880. Its totient is φ = 22132224.

The previous prime is 85307927. The next prime is 85307941. The reversal of 85307940 is 4970358.

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 68856804 = 4056^2 + 8298^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85307895 and 85307904.

It is not an unprimeable number, because it can be changed into a prime (85307941) 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 23 ways as a sum of consecutive naturals, for example, 256 + ... + 13064.

It is an arithmetic number, because the mean of its divisors is an integer number (3691415).

Almost surely, 2^85307940 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 85307940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132890940).

85307940 is an abundant number, since it is smaller than the sum of its proper divisors (180473940).

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

85307940 is a wasteful number, since it uses less digits than its factorization.

85307940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12861 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85307940 is about 9236.2297502823. The cubic root of 85307940 is about 440.2132919059.

It can be divided in two parts, 85 and 307940, that added together give a square (308025 = 555²).

The spelling of 85307940 in words is "eighty-five million, three hundred seven thousand, nine hundred forty".