85307040 has 576 divisors, whose sum is σ = 386104320. Its totient is φ = 17418240.

The previous prime is 85307029. The next prime is 85307041. The reversal of 85307040 is 4070358.

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

It is a junction number, because it is equal to n+sod(n) for n = 85306995 and 85307013.

It is not an unprimeable number, because it can be changed into a prime (85307041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751825 + ... + 2751855.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^85307040 is an apocalyptic number.

85307040 is a gapful number since it is divisible by the number (80) 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 85307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

85307040 is an abundant number, since it is smaller than the sum of its proper divisors (300797280).

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

85307040 is a wasteful number, since it uses less digits than its factorization.

85307040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 85307040 is about 9236.1810289751. The cubic root of 85307040 is about 440.2117438149.

Adding to 85307040 its reverse (4070358), we get a palindrome (89377398).

The spelling of 85307040 in words is "eighty-five million, three hundred seven thousand, forty".