86095680 has 224 divisors, whose sum is σ = 308994048. Its totient is φ = 20121600.

The previous prime is 86095673. The next prime is 86095697. The reversal of 86095680 is 8659068.

It is a super-2 number, since 2×86095680² = 14824932229324800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 327229 + ... + 327491.

Almost surely, 2^86095680 is an apocalyptic number.

86095680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154497024).

86095680 is an abundant number, since it is smaller than the sum of its proper divisors (222898368).

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

86095680 is a wasteful number, since it uses less digits than its factorization.

86095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 86095680 is about 9278.7757813194. The cubic root of 86095680 is about 441.5641301468.

The spelling of 86095680 in words is "eighty-six million, ninety-five thousand, six hundred eighty".