86135760 has 60 divisors (see below), whose sum is σ = 289275012. Its totient is φ = 22969344.

The previous prime is 86135747. The next prime is 86135801. The reversal of 86135760 is 6753168.

86135760 is a `hidden beast` number, since 86 + 1 + 3 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 39841344 = 6804^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59097 + ... + 60536.

Almost surely, 2^86135760 is an apocalyptic number.

86135760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86135760 is an abundant number, since it is smaller than the sum of its proper divisors (203139252).

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

86135760 is a wasteful number, since it uses less digits than its factorization.

86135760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119652 (or 119643 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 86135760 is about 9280.9352976949. The cubic root of 86135760 is about 441.6326397582.

The spelling of 86135760 in words is "eighty-six million, one hundred thirty-five thousand, seven hundred sixty".