85743546 has 128 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 21504000.

The previous prime is 85743527. The next prime is 85743569. The reversal of 85743546 is 64534758.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (403200) is a multiple of the sum of its prime divisors (200).

It is a junction number, because it is equal to n+sod(n) for n = 85743498 and 85743507.

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, 848896 + ... + 848996.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^85743546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85743546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

85743546 is an abundant number, since it is smaller than the sum of its proper divisors (136339014).

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

85743546 is a wasteful number, since it uses less digits than its factorization.

85743546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200.

The product of its digits is 403200, while the sum is 42.

The square root of 85743546 is about 9259.7810989245. The cubic root of 85743546 is about 440.9613038789.

The spelling of 85743546 in words is "eighty-five million, seven hundred forty-three thousand, five hundred forty-six".