85805460 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 19851264.

The previous prime is 85805449. The next prime is 85805509. The reversal of 85805460 is 6450858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118981 + ... + 119699.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^85805460 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 85805460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

85805460 is an abundant number, since it is smaller than the sum of its proper divisors (219013740).

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

85805460 is a wasteful number, since it uses less digits than its factorization.

85805460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85805460 is about 9263.1236632143. The cubic root of 85805460 is about 441.0674153035.

The spelling of 85805460 in words is "eighty-five million, eight hundred five thousand, four hundred sixty".