85219540 has 48 divisors (see below), whose sum is σ = 206180352. Its totient is φ = 28982016.

The previous prime is 85219529. The next prime is 85219553. The reversal of 85219540 is 4591258.

It is a junction number, because it is equal to n+sod(n) for n = 85219496 and 85219505.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15384 + ... + 20176.

It is an arithmetic number, because the mean of its divisors is an integer number (4295424).

Almost surely, 2^85219540 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 85219540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103090176).

85219540 is an abundant number, since it is smaller than the sum of its proper divisors (120960812).

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

85219540 is a wasteful number, since it uses less digits than its factorization.

85219540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 85219540 is about 9231.4430074610. The cubic root of 85219540 is about 440.0611829520.

The spelling of 85219540 in words is "eighty-five million, two hundred nineteen thousand, five hundred forty".