85130640 has 360 divisors, whose sum is σ = 352834560. Its totient is φ = 18289152.

The previous prime is 85130627. The next prime is 85130651. The reversal of 85130640 is 4603158.

85130640 is a `hidden beast` number, since 8 + 5 + 13 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 670257 + ... + 670383.

It is an arithmetic number, because the mean of its divisors is an integer number (980096).

Almost surely, 2^85130640 is an apocalyptic number.

85130640 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 85130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176417280).

85130640 is an abundant number, since it is smaller than the sum of its proper divisors (267703920).

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

85130640 is a wasteful number, since it uses less digits than its factorization.

85130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85130640 is about 9226.6266858479. The cubic root of 85130640 is about 439.9081075317.

Adding to 85130640 its reverse (4603158), we get a palindrome (89733798).

The spelling of 85130640 in words is "eighty-five million, one hundred thirty thousand, six hundred forty".