85202016 has 48 divisors (see below), whose sum is σ = 225119664. Its totient is φ = 28214784.

The previous prime is 85201997. The next prime is 85202021. The reversal of 85202016 is 61020258.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12246 + ... + 17898.

It is an arithmetic number, because the mean of its divisors is an integer number (4689993).

Almost surely, 2^85202016 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 85202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112559832).

85202016 is an abundant number, since it is smaller than the sum of its proper divisors (139917648).

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

85202016 is a wasteful number, since it uses less digits than its factorization.

85202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 85202016 is about 9230.4938112758. The cubic root of 85202016 is about 440.0310170972.

The spelling of 85202016 in words is "eighty-five million, two hundred two thousand, sixteen".