85505880 has 64 divisors (see below), whose sum is σ = 257891040. Its totient is φ = 22679552.

The previous prime is 85505873. The next prime is 85505921. The reversal of 85505880 is 8850558.

It is a super-2 number, since 2×85505880² = 14622511029148800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21832 + ... + 25448.

Almost surely, 2^85505880 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 85505880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128945520).

85505880 is an abundant number, since it is smaller than the sum of its proper divisors (172385160).

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

85505880 is a wasteful number, since it uses less digits than its factorization.

85505880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 39.

The square root of 85505880 is about 9246.9389529725. The cubic root of 85505880 is about 440.5535045207.

The spelling of 85505880 in words is "eighty-five million, five hundred five thousand, eight hundred eighty".