86610420 has 72 divisors (see below), whose sum is σ = 282935016. Its totient is φ = 21318912.

The previous prime is 86610397. The next prime is 86610437. The reversal of 86610420 is 2401668.

86610420 is a `hidden beast` number, since 8 + 6 + 610 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1454436 + 85155984 = 1206^2 + 9228^2 .

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 23 ways as a sum of consecutive naturals, for example, 16167 + ... + 20846.

It is an arithmetic number, because the mean of its divisors is an integer number (3929653).

Almost surely, 2^86610420 is an apocalyptic number.

It is an amenable number.

86610420 is an abundant number, since it is smaller than the sum of its proper divisors (196324596).

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

86610420 is a wasteful number, since it uses less digits than its factorization.

86610420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37041 (or 37036 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86610420 is about 9306.4719416114. The cubic root of 86610420 is about 442.4423749532.

The spelling of 86610420 in words is "eighty-six million, six hundred ten thousand, four hundred twenty".