85478160 has 80 divisors (see below), whose sum is σ = 273553920. Its totient is φ = 22056960.

The previous prime is 85478149. The next prime is 85478161. The reversal of 85478160 is 6187458.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85478161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696 + ... + 13184.

It is an arithmetic number, because the mean of its divisors is an integer number (3419424).

Almost surely, 2^85478160 is an apocalyptic number.

85478160 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 85478160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136776960).

85478160 is an abundant number, since it is smaller than the sum of its proper divisors (188075760).

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

85478160 is a wasteful number, since it uses less digits than its factorization.

85478160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 85478160 is about 9245.4399570815. The cubic root of 85478160 is about 440.5058919548.

The spelling of 85478160 in words is "eighty-five million, four hundred seventy-eight thousand, one hundred sixty".