85413680 has 120 divisors (see below), whose sum is σ = 226070352. Its totient is φ = 29760000.

The previous prime is 85413673. The next prime is 85413689. The reversal of 85413680 is 8631458.

It is a super-2 number, since 2×85413680² = 14590993462284800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85413680.

It is not an unprimeable number, because it can be changed into a prime (85413689) 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 23 ways as a sum of consecutive naturals, for example, 845630 + ... + 845730.

Almost surely, 2^85413680 is an apocalyptic number.

85413680 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 85413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113035176).

85413680 is an abundant number, since it is smaller than the sum of its proper divisors (140656672).

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

85413680 is a wasteful number, since it uses less digits than its factorization.

85413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 85413680 is about 9241.9521747302. The cubic root of 85413680 is about 440.3950996580.

It can be divided in two parts, 8541 and 3680, that added together give a palindrome (12221).

The spelling of 85413680 in words is "eighty-five million, four hundred thirteen thousand, six hundred eighty".