85362012 has 72 divisors (see below), whose sum is σ = 228127536. Its totient is φ = 27900288.

The previous prime is 85362001. The next prime is 85362029. The reversal of 85362012 is 21026358.

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 23 ways as a sum of consecutive naturals, for example, 50688 + ... + 52344.

It is an arithmetic number, because the mean of its divisors is an integer number (3168438).

Almost surely, 2^85362012 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 85362012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114063768).

85362012 is an abundant number, since it is smaller than the sum of its proper divisors (142765524).

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

85362012 is a wasteful number, since it uses less digits than its factorization.

85362012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85362012 is about 9239.1564550017. The cubic root of 85362012 is about 440.3062812404.

The spelling of 85362012 in words is "eighty-five million, three hundred sixty-two thousand, twelve".