85084020 has 288 divisors, whose sum is σ = 318479616. Its totient is φ = 18662400.

The previous prime is 85084019. The next prime is 85084039. The reversal of 85084020 is 2048058.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1394790 + ... + 1394850.

It is an arithmetic number, because the mean of its divisors is an integer number (1105832).

Almost surely, 2^85084020 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 85084020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159239808).

85084020 is an abundant number, since it is smaller than the sum of its proper divisors (233395596).

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

85084020 is a wasteful number, since it uses less digits than its factorization.

85084020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 85084020 is about 9224.0999560933. The cubic root of 85084020 is about 439.8277907354.

It can be divided in two parts, 850840 and 20, that added together give a triangular number (850860 = T₁₃₀₄).

The spelling of 85084020 in words is "eighty-five million, eighty-four thousand, twenty".