85408020 has 60 divisors (see below), whose sum is σ = 267933204. Its totient is φ = 22775040.

The previous prime is 85408013. The next prime is 85408031. The reversal of 85408020 is 2080458.

It can be written as a sum of positive squares in 2 ways, for example, as 17740944 + 67667076 = 4212^2 + 8226^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24741 + ... + 27980.

Almost surely, 2^85408020 is an apocalyptic number.

It is an amenable number.

85408020 is an abundant number, since it is smaller than the sum of its proper divisors (182525184).

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

85408020 is a wasteful number, since it uses less digits than its factorization.

85408020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52742 (or 52731 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 85408020 is about 9241.6459572957. The cubic root of 85408020 is about 440.3853717420.

Adding to 85408020 its reverse (2080458), we get a palindrome (87488478).

The spelling of 85408020 in words is "eighty-five million, four hundred eight thousand, twenty".