85773820 has 48 divisors (see below), whose sum is σ = 201091968. Its totient is φ = 30461760.

The previous prime is 85773811. The next prime is 85773829. The reversal of 85773820 is 2837758.

It is an interprime number because it is at equal distance from previous prime (85773811) and next prime (85773829).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85773829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4927 + ... + 13993.

It is an arithmetic number, because the mean of its divisors is an integer number (4189416).

Almost surely, 2^85773820 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 85773820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100545984).

85773820 is an abundant number, since it is smaller than the sum of its proper divisors (115318148).

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

85773820 is a wasteful number, since it uses less digits than its factorization.

85773820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 9128 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 85773820 is about 9261.4156585265. The cubic root of 85773820 is about 441.0131954101.

It can be divided in two parts, 857738 and 20, that added together give a palindrome (857758).

The spelling of 85773820 in words is "eighty-five million, seven hundred seventy-three thousand, eight hundred twenty".