85485420 has 72 divisors (see below), whose sum is σ = 262997280. Its totient is φ = 22471680.

The previous prime is 85485377. The next prime is 85485431. The reversal of 85485420 is 2458458.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9436 + ... + 16124.

It is an arithmetic number, because the mean of its divisors is an integer number (3652740).

Almost surely, 2^85485420 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 85485420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131498640).

85485420 is an abundant number, since it is smaller than the sum of its proper divisors (177511860).

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

85485420 is a wasteful number, since it uses less digits than its factorization.

85485420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 85485420 is about 9245.8325747333. The cubic root of 85485420 is about 440.5183629073.

It can be divided in two parts, 85485 and 420, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 85485420 in words is "eighty-five million, four hundred eighty-five thousand, four hundred twenty".