85036880 has 30 divisors (see below), whose sum is σ = 197902698. Its totient is φ = 33981760.

The previous prime is 85036871. The next prime is 85036883. The reversal of 85036880 is 8863058.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 68029504 + 17007376 = 8248^2 + 4124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85036883) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 81965 + ... + 82995.

Almost surely, 2^85036880 is an apocalyptic number.

85036880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85036880 is an abundant number, since it is smaller than the sum of its proper divisors (112865818).

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

85036880 is an equidigital number, since it uses as much as digits as its factorization.

85036880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 85036880 is about 9221.5443392091. The cubic root of 85036880 is about 439.7465482479.

Multiplying 85036880 by its product of nonzero digits (46080), we get a square (3918499430400 = 1979520²).

The spelling of 85036880 in words is "eighty-five million, thirty-six thousand, eight hundred eighty".