85600135 has 12 divisors (see below), whose sum is σ = 107383752. Its totient is φ = 65500688.

The previous prime is 85600063. The next prime is 85600153. The reversal of 85600135 is 53100658.

85600135 = T₅₈₄₉ + T₅₈₅₀ + ... + T₅₈₅₃.

It is not a de Polignac number, because 85600135 - 2⁹ = 85599623 is a prime.

It is a super-2 number, since 2×85600135² = 14654766224036450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13537 + ... + 18826.

It is an arithmetic number, because the mean of its divisors is an integer number (8948646).

Almost surely, 2^85600135 is an apocalyptic number.

85600135 is a deficient number, since it is larger than the sum of its proper divisors (21783617).

85600135 is a wasteful number, since it uses less digits than its factorization.

85600135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32414 (or 32391 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 85600135 is about 9252.0341006721. The cubic root of 85600135 is about 440.7153223285.

The spelling of 85600135 in words is "eighty-five million, six hundred thousand, one hundred thirty-five".