85135392 has 72 divisors (see below), whose sum is σ = 243000576. Its totient is φ = 28273536.

The previous prime is 85135381. The next prime is 85135417. The reversal of 85135392 is 29353158.

85135392 is a `hidden beast` number, since 8 + 513 + 53 + 92 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139953 + ... + 140559.

It is an arithmetic number, because the mean of its divisors is an integer number (3375008).

Almost surely, 2^85135392 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 85135392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121500288).

85135392 is an abundant number, since it is smaller than the sum of its proper divisors (157865184).

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

85135392 is a wasteful number, since it uses less digits than its factorization.

85135392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 85135392 is about 9226.8841978211. The cubic root of 85135392 is about 439.9162926161.

The spelling of 85135392 in words is "eighty-five million, one hundred thirty-five thousand, three hundred ninety-two".