85684590 has 48 divisors (see below), whose sum is σ = 235888848. Its totient is φ = 21504768.

The previous prime is 85684561. The next prime is 85684597. The reversal of 85684590 is 9548658.

85684590 is a `hidden beast` number, since 8 + 56 + 8 + 4 + 590 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85684597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26472 + ... + 29531.

It is an arithmetic number, because the mean of its divisors is an integer number (4914351).

Almost surely, 2^85684590 is an apocalyptic number.

85684590 is an abundant number, since it is smaller than the sum of its proper divisors (150204258).

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

85684590 is a wasteful number, since it uses less digits than its factorization.

85684590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56033 (or 56030 counting only the distinct ones).

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

The square root of 85684590 is about 9256.5971069287. The cubic root of 85684590 is about 440.8602145391.

The spelling of 85684590 in words is "eighty-five million, six hundred eighty-four thousand, five hundred ninety".