85945860 has 480 divisors, whose sum is σ = 368831232. Its totient is φ = 16174080.

The previous prime is 85945843. The next prime is 85945861. The reversal of 85945860 is 6854958.

85945860 is a `hidden beast` number, since 8 + 594 + 58 + 6 + 0 = 666.

It is a super-2 number, since 2×85945860² = 14773381702279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85945861) 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 159 ways as a sum of consecutive naturals, for example, 1621594 + ... + 1621646.

Almost surely, 2^85945860 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 85945860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184415616).

85945860 is an abundant number, since it is smaller than the sum of its proper divisors (282885372).

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

85945860 is a wasteful number, since it uses less digits than its factorization.

85945860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85945860 is about 9270.6990027721. The cubic root of 85945860 is about 441.3078511304.

The spelling of 85945860 in words is "eighty-five million, nine hundred forty-five thousand, eight hundred sixty".