86594160 has 160 divisors (see below), whose sum is σ = 282267648. Its totient is φ = 21934080.

The previous prime is 86594159. The next prime is 86594161. The reversal of 86594160 is 6149568.

It is an interprime number because it is at equal distance from previous prime (86594159) and next prime (86594161).

It is a super-2 number, since 2×86594160² = 14997097092211200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86594161) by changing a digit.

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, 766264 + ... + 766376.

Almost surely, 2^86594160 is an apocalyptic number.

86594160 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 86594160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141133824).

86594160 is an abundant number, since it is smaller than the sum of its proper divisors (195673488).

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

86594160 is a wasteful number, since it uses less digits than its factorization.

86594160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 86594160 is about 9305.5983149930. The cubic root of 86594160 is about 442.4146855856.

The spelling of 86594160 in words is "eighty-six million, five hundred ninety-four thousand, one hundred sixty".