85246020 has 120 divisors (see below), whose sum is σ = 270586008. Its totient is φ = 22464000.

The previous prime is 85246019. The next prime is 85246061. The reversal of 85246020 is 2064258.

85246020 is a `hidden beast` number, since 8 + 52 + 4 + 602 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 65318724 = 4464^2 + 8082^2 .

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 39 ways as a sum of consecutive naturals, for example, 163360 + ... + 163880.

Almost surely, 2^85246020 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 85246020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135293004).

85246020 is an abundant number, since it is smaller than the sum of its proper divisors (185339988).

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

85246020 is a wasteful number, since it uses less digits than its factorization.

85246020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85246020 is about 9232.8771247104. The cubic root of 85246020 is about 440.1067578417.

The spelling of 85246020 in words is "eighty-five million, two hundred forty-six thousand, twenty".