85084416 has 54 divisors (see below), whose sum is σ = 245325990. Its totient is φ = 28360704.

The previous prime is 85084409. The next prime is 85084453. The reversal of 85084416 is 61448058.

It can be written as a sum of positive squares in only one way, i.e., 78854400 + 6230016 = 8880^2 + 2496^2 .

It is a super-2 number, since 2×85084416² = 14478715692122112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16161 + ... + 20768.

Almost surely, 2^85084416 is an apocalyptic number.

It is an amenable number.

85084416 is an abundant number, since it is smaller than the sum of its proper divisors (160241574).

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

85084416 is a wasteful number, since it uses less digits than its factorization.

85084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36951 (or 36934 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85084416 is about 9224.1214215772. The cubic root of 85084416 is about 439.8284730866.

It can be divided in two parts, 850844 and 16, that added together give a triangular number (850860 = T₁₃₀₄).

The spelling of 85084416 in words is "eighty-five million, eighty-four thousand, four hundred sixteen".