86758160 has 20 divisors (see below), whose sum is σ = 201712908. Its totient is φ = 34703232.

The previous prime is 86758151. The next prime is 86758163. The reversal of 86758160 is 6185768.

It can be written as a sum of positive squares in 2 ways, for example, as 38093584 + 48664576 = 6172^2 + 6976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×86758160³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (86758163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 542159 + ... + 542318.

Almost surely, 2^86758160 is an apocalyptic number.

86758160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86758160 is an abundant number, since it is smaller than the sum of its proper divisors (114954748).

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

86758160 is a wasteful number, since it uses less digits than its factorization.

86758160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084490 (or 1084484 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 86758160 is about 9314.4060465496. The cubic root of 86758160 is about 442.6938046861.

The spelling of 86758160 in words is "eighty-six million, seven hundred fifty-eight thousand, one hundred sixty".