85797160 has 64 divisors (see below), whose sum is σ = 205920000. Its totient is φ = 32078592.

The previous prime is 85797121. The next prime is 85797163. The reversal of 85797160 is 6179758.

It is a super-2 number, since 2×85797160² = 14722305328131200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85797163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59326 + ... + 60754.

It is an arithmetic number, because the mean of its divisors is an integer number (3217500).

Almost surely, 2^85797160 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 85797160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960000).

85797160 is an abundant number, since it is smaller than the sum of its proper divisors (120122840).

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

85797160 is a wasteful number, since it uses less digits than its factorization.

85797160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 85797160 is about 9262.6756393604. The cubic root of 85797160 is about 441.0531932963.

The spelling of 85797160 in words is "eighty-five million, seven hundred ninety-seven thousand, one hundred sixty".