85380020 has 36 divisors (see below), whose sum is σ = 197085252. Its totient is φ = 31046400.

The previous prime is 85380019. The next prime is 85380023. The reversal of 85380020 is 2008358.

It can be written as a sum of positive squares in 2 ways, for example, as 23001616 + 62378404 = 4796^2 + 7898^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85380023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15221 + ... + 20060.

Almost surely, 2^85380020 is an apocalyptic number.

It is an amenable number.

85380020 is an abundant number, since it is smaller than the sum of its proper divisors (111705232).

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

85380020 is a wasteful number, since it uses less digits than its factorization.

85380020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35312 (or 35299 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 85380020 is about 9240.1309514530. The cubic root of 85380020 is about 440.3372414526.

Adding to 85380020 its reverse (2008358), we get a palindrome (87388378).

The spelling of 85380020 in words is "eighty-five million, three hundred eighty thousand, twenty".