85168480 has 48 divisors (see below), whose sum is σ = 206133984. Its totient is φ = 33233920.

The previous prime is 85168477. The next prime is 85168481. The reversal of 85168480 is 8486158.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85168481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 13051.

It is an arithmetic number, because the mean of its divisors is an integer number (4294458).

Almost surely, 2^85168480 is an apocalyptic number.

85168480 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 85168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103066992).

85168480 is an abundant number, since it is smaller than the sum of its proper divisors (120965504).

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

85168480 is a wasteful number, since it uses less digits than its factorization.

85168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13039 (or 13031 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 85168480 is about 9228.6770449507. The cubic root of 85168480 is about 439.9732766139.

85168480 divided by its sum of digits (40) gives a palindrome (2129212).

The spelling of 85168480 in words is "eighty-five million, one hundred sixty-eight thousand, four hundred eighty".