85552884 has 18 divisors (see below), whose sum is σ = 216258770. Its totient is φ = 28517616.

The previous prime is 85552879. The next prime is 85552913. The reversal of 85552884 is 48825558.

It can be written as a sum of positive squares in only one way, i.e., 85155984 + 396900 = 9228^2 + 630^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1188199 + ... + 1188270.

Almost surely, 2^85552884 is an apocalyptic number.

It is an amenable number.

85552884 is an abundant number, since it is smaller than the sum of its proper divisors (130705886).

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

85552884 is a wasteful number, since it uses less digits than its factorization.

85552884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376479 (or 2376474 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The square root of 85552884 is about 9249.4802016113. The cubic root of 85552884 is about 440.6342162551.

It can be divided in two parts, 85552 and 884, that added together give a square (86436 = 294²).

The spelling of 85552884 in words is "eighty-five million, five hundred fifty-two thousand, eight hundred eighty-four".