86418080 has 192 divisors, whose sum is σ = 255467520. Its totient is φ = 26956800.

The previous prime is 86418077. The next prime is 86418083. The reversal of 86418080 is 8081468.

It is an interprime number because it is at equal distance from previous prime (86418077) and next prime (86418083).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 86418080.

It is not an unprimeable number, because it can be changed into a prime (86418083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659615 + ... + 659745.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^86418080 is an apocalyptic number.

86418080 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 86418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

86418080 is an abundant number, since it is smaller than the sum of its proper divisors (169049440).

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

86418080 is a wasteful number, since it uses less digits than its factorization.

86418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 86418080 is about 9296.1325291758. The cubic root of 86418080 is about 442.1146143942.

The spelling of 86418080 in words is "eighty-six million, four hundred eighteen thousand, eighty".