85884100 has 18 divisors (see below), whose sum is σ = 186368714. Its totient is φ = 34353600.

The previous prime is 85884049. The next prime is 85884103. The reversal of 85884100 is 148858.

It can be written as a sum of positive squares in 3 ways, for example, as 13191424 + 72692676 = 3632^2 + 8526^2 .

It is not an unprimeable number, because it can be changed into a prime (85884103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 429321 + ... + 429520.

Almost surely, 2^85884100 is an apocalyptic number.

It is an amenable number.

85884100 is an abundant number, since it is smaller than the sum of its proper divisors (100484614).

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

85884100 is a wasteful number, since it uses less digits than its factorization.

85884100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858855 (or 858848 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 85884100 is about 9267.3674794949. The cubic root of 85884100 is about 441.2021190492.

The spelling of 85884100 in words is "eighty-five million, eight hundred eighty-four thousand, one hundred".