85012128 has 72 divisors (see below), whose sum is σ = 242997300. Its totient is φ = 28191744.

The previous prime is 85012127. The next prime is 85012129. The reversal of 85012128 is 82121058.

It is an interprime number because it is at equal distance from previous prime (85012127) and next prime (85012129).

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 14653584 = 8388^2 + 3828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (85012127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65308 + ... + 66596.

Almost surely, 2^85012128 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 85012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121498650).

85012128 is an abundant number, since it is smaller than the sum of its proper divisors (157985172).

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

85012128 is a wasteful number, since it uses less digits than its factorization.

85012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85012128 is about 9220.2021669809. The cubic root of 85012128 is about 439.7038778881.

The spelling of 85012128 in words is "eighty-five million, twelve thousand, one hundred twenty-eight".