85202640 has 120 divisors (see below), whose sum is σ = 303014088. Its totient is φ = 21381120.

The previous prime is 85202573. The next prime is 85202647. The reversal of 85202640 is 4620258.

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 56430144 = 5364^2 + 7512^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85202647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8760 + ... + 15720.

Almost surely, 2^85202640 is an apocalyptic number.

85202640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151507044).

85202640 is an abundant number, since it is smaller than the sum of its proper divisors (217811448).

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

85202640 is a wasteful number, since it uses less digits than its factorization.

85202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6997 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85202640 is about 9230.5276122224. The cubic root of 85202640 is about 440.0320913233.

Adding to 85202640 its reverse (4620258), we get a palindrome (89822898).

The spelling of 85202640 in words is "eighty-five million, two hundred two thousand, six hundred forty".