85689540 has 72 divisors (see below), whose sum is σ = 265993728. Its totient is φ = 22317120.

The previous prime is 85689529. The next prime is 85689547. The reversal of 85689540 is 4598658.

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 (85689547) 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 23 ways as a sum of consecutive naturals, for example, 2205 + ... + 13275.

Almost surely, 2^85689540 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 85689540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132996864).

85689540 is an abundant number, since it is smaller than the sum of its proper divisors (180304188).

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

85689540 is a wasteful number, since it uses less digits than its factorization.

85689540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129 (or 11124 counting only the distinct ones).

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

The square root of 85689540 is about 9256.8644799414. The cubic root of 85689540 is about 440.8687038760.

The spelling of 85689540 in words is "eighty-five million, six hundred eighty-nine thousand, five hundred forty".