86085792 has 72 divisors (see below), whose sum is σ = 263649204. Its totient is φ = 26486784.

The previous prime is 86085787. The next prime is 86085799. The reversal of 86085792 is 29758068.

It can be written as a sum of positive squares in 2 ways, for example, as 86044176 + 41616 = 9276^2 + 204^2 .

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

It is a super-3 number, since 3×86085792³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86085799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7753 + ... + 15240.

Almost surely, 2^86085792 is an apocalyptic number.

It is an amenable number.

86085792 is an abundant number, since it is smaller than the sum of its proper divisors (177563412).

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

86085792 is a wasteful number, since it uses less digits than its factorization.

86085792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23022 (or 23011 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 86085792 is about 9278.2429371083. The cubic root of 86085792 is about 441.5472251047.

It can be divided in two parts, 8608 and 5792, that added together give a square (14400 = 120²).

The spelling of 86085792 in words is "eighty-six million, eighty-five thousand, seven hundred ninety-two".