85093020 has 144 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 21223296.

The previous prime is 85092979. The next prime is 85093027. The reversal of 85093020 is 2039058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85093027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475291 + ... + 475469.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 2^85093020 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 85093020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

85093020 is an abundant number, since it is smaller than the sum of its proper divisors (190090980).

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

85093020 is a wasteful number, since it uses less digits than its factorization.

85093020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 85093020 is about 9224.5877956687. The cubic root of 85093020 is about 439.8432981933.

The spelling of 85093020 in words is "eighty-five million, ninety-three thousand, twenty".