86795610 has 128 divisors (see below), whose sum is σ = 243302400. Its totient is φ = 19595520.

The previous prime is 86795603. The next prime is 86795633. The reversal of 86795610 is 1659768.

86795610 = T₁₇₄₉ + T₁₇₅₀ + ... + T₁₈₀₃.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 63 ways as a sum of consecutive naturals, for example, 683367 + ... + 683493.

It is an arithmetic number, because the mean of its divisors is an integer number (1900800).

Almost surely, 2^86795610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86795610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121651200).

86795610 is an abundant number, since it is smaller than the sum of its proper divisors (156506790).

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

86795610 is a wasteful number, since it uses less digits than its factorization.

86795610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 86795610 is about 9316.4161564413. The cubic root of 86795610 is about 442.7574932125.

The spelling of 86795610 in words is "eighty-six million, seven hundred ninety-five thousand, six hundred ten".