85886460 has 192 divisors, whose sum is σ = 307238400. Its totient is φ = 19699200.

The previous prime is 85886459. The next prime is 85886467. The reversal of 85886460 is 6468858.

85886460 is a `hidden beast` number, since 8 + 588 + 6 + 4 + 60 = 666.

It is a super-2 number, since 2×85886460² = 14752968022663200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85886467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112480 + ... + 113240.

It is an arithmetic number, because the mean of its divisors is an integer number (1600200).

Almost surely, 2^85886460 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 85886460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

85886460 is an abundant number, since it is smaller than the sum of its proper divisors (221351940).

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

85886460 is a wasteful number, since it uses less digits than its factorization.

85886460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 85886460 is about 9267.4948071202. The cubic root of 85886460 is about 441.2061602608.

The spelling of 85886460 in words is "eighty-five million, eight hundred eighty-six thousand, four hundred sixty".