86667360 has 384 divisors, whose sum is σ = 335301120. Its totient is φ = 18579456.

The previous prime is 86667353. The next prime is 86667367. The reversal of 86667360 is 6376668.

It is an interprime number because it is at equal distance from previous prime (86667353) and next prime (86667367).

It is a super-2 number, since 2×86667360² = 15022462578739200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86667367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2015499 + ... + 2015541.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^86667360 is an apocalyptic number.

86667360 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 86667360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

86667360 is an abundant number, since it is smaller than the sum of its proper divisors (248633760).

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

86667360 is a wasteful number, since it uses less digits than its factorization.

86667360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 86667360 is about 9309.5306004116. The cubic root of 86667360 is about 442.5393115191.

The spelling of 86667360 in words is "eighty-six million, six hundred sixty-seven thousand, three hundred sixty".