85248020 has 96 divisors (see below), whose sum is σ = 215744256. Its totient is φ = 27878400.

The previous prime is 85248011. The next prime is 85248029. The reversal of 85248020 is 2084258.

It is an interprime number because it is at equal distance from previous prime (85248011) and next prime (85248029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85248029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116897 + ... + 117623.

It is an arithmetic number, because the mean of its divisors is an integer number (2247336).

Almost surely, 2^85248020 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 85248020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107872128).

85248020 is an abundant number, since it is smaller than the sum of its proper divisors (130496236).

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

85248020 is a wasteful number, since it uses less digits than its factorization.

85248020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 85248020 is about 9232.9854326756. The cubic root of 85248020 is about 440.1101996705.

The spelling of 85248020 in words is "eighty-five million, two hundred forty-eight thousand, twenty".