86388480 has 108 divisors (see below), whose sum is σ = 298935000. Its totient is φ = 23033856.

The previous prime is 86388479. The next prime is 86388481. The reversal of 86388480 is 8488368.

86388480 is a `hidden beast` number, since 8 + 638 + 8 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86388479) and next prime (86388481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86388481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7771 + ... + 15269.

Almost surely, 2^86388480 is an apocalyptic number.

86388480 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 86388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149467500).

86388480 is an abundant number, since it is smaller than the sum of its proper divisors (212546520).

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

86388480 is a wasteful number, since it uses less digits than its factorization.

86388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 86388480 is about 9294.5403329051. The cubic root of 86388480 is about 442.0641307955.

It can be divided in two parts, 86388 and 480, that added together give a palindrome (86868).

The spelling of 86388480 in words is "eighty-six million, three hundred eighty-eight thousand, four hundred eighty".