85427160 has 128 divisors (see below), whose sum is σ = 315463680. Its totient is φ = 18021888.

The previous prime is 85427101. The next prime is 85427161. The reversal of 85427160 is 6172458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85427161) 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 31 ways as a sum of consecutive naturals, for example, 7009 + ... + 14831.

It is an arithmetic number, because the mean of its divisors is an integer number (2464560).

Almost surely, 2^85427160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85427160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157731840).

85427160 is an abundant number, since it is smaller than the sum of its proper divisors (230036520).

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

85427160 is a wasteful number, since it uses less digits than its factorization.

85427160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 85427160 is about 9242.6814291092. The cubic root of 85427160 is about 440.4182661800.

The spelling of 85427160 in words is "eighty-five million, four hundred twenty-seven thousand, one hundred sixty".