85313520 has 160 divisors (see below), whose sum is σ = 297123840. Its totient is φ = 22498560.

The previous prime is 85313491. The next prime is 85313521. The reversal of 85313520 is 2531358.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85313521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274165 + ... + 274475.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 2^85313520 is an apocalyptic number.

85313520 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 85313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

85313520 is an abundant number, since it is smaller than the sum of its proper divisors (211810320).

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

85313520 is a wasteful number, since it uses less digits than its factorization.

85313520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85313520 is about 9236.5318166507. The cubic root of 85313520 is about 440.2228898269. Note that the first 3 decimals are identical.

Adding to 85313520 its reverse (2531358), we get a palindrome (87844878).

The spelling of 85313520 in words is "eighty-five million, three hundred thirteen thousand, five hundred twenty".